title: Reggeization of N=8 Supergravity and N=4 Yang-Mills Theory II

abstract:
  The loop expansion for the n-point functions of N=4 Yang-Mills theory and N=8
supergravity can be formulated as the loop expansion of scalar field theory
with an infinite subclass being the ladder diagrams. We consider the sum of
ladder diagrams for gluon-gluon and graviton-graviton scattering in the Regge
limit. The reggeization of the gluon and the graviton is discussed in this
context and that of hep-th/0701217. If the Bern, Dixon, Smirnov conjecture for
planar gluon-gluon scattering is correct, then the ladder sum for SU(N) gauge
theory at large N, correctly gives the Regge limit, with Regge trajectory
function proportional to the cusp anomalous dimension.
  In graviton-graviton scattering it is argued that the graviton lies on a
Regge trajectory. Regge cuts are also present due to infinite sums of
non-planar graphs. The multiple exchange of Regge poles in non-planar graphs
can give a countable infinite number of moving Regge cuts which accumulate near
s=0. It is conjectured that this may be related to the infinite number of
non-perturbative massless states which remain in the limit discussed by Green,
Ooguri and Schwarz.


title: LHC and Dark Matter Signals of Improved Naturalness

abstract:
  The Standard Model Higgs suffers from the hierarchy problem, typically
implying new states within the reach of the LHC. If the Higgs is very heavy
(~500 GeV) the states that cutoff the quadratic divergence may be beyond the
reach of the LHC. However, in this case precision electroweak data require the
Standard Model to be augmented with new states at the electroweak scale. We
study a very simple model, with no new colored states, that allows a heavy
Higgs whilst remaining consistent with experiments, and yielding the correct
dark matter abundance. We investigate the possibilities for its discovery at
the LHC and future dark matter detection experiments.


title: Mixing and CP violation in the D0 and Bs systems

abstract:
  Recent developments for mixing and CP violation in the D0 and Bs systems are
reviewed, including (i) the recently emerging evidence for D0-D0bar mixing and
the interpretations of the measurements; (ii) the theoretical status of the
calculations of Delta(Gamma_D) and Delta(m_D); (iii) some implications of the
measurement of Bs mixing for new physics.


title:
Stochastic Quantization of Scalar Fields in Einstein and Rindler
  Spacetime

abstract:
  We consider the stochastic quantization method for scalar fields defined in a
curved manifold and also in a flat space-time with event horizon. The two-point
function associated to a massive self-interacting scalar field is evaluated, up
to the first order level in the coupling constant, for the case of an Einstein
and also a Rindler Euclidean metric, respectively. Its value for the asymptotic
limit of the Markov parameter is exhibited. The divergences therein are taken
care of by employing a covariant stochastic regularization.


title: Janossy densities for Unitary ensembles at the spectral edge

abstract:
  For a broad class of unitary ensembles of random matrices we demonstrate the
universal nature of the Janossy densities of eigenvalues near the spectral
edge, providing a different formulation of the probability distributions of the
limiting second, third, etc. largest eigenvalues of the ensembles in question.
The approach is based on a representation of the Janossy densities in terms of
a system of orthogonal polynomials, plus the steepest descent method of Deift
and Zhou for the asymptotic analysis of the associated Riemann-Hilbert problem.


title:
Radial distribution of the inner magnetosphere plasma pressure using
  low-altitude satellite data during geomagnetic storm: the March 1-8, 1982
  Event

abstract:
  Plasma pressure distribution in the inner magnetosphere is one of the key
parameters for understanding the main magnetospheric processes including
geomagnetic storms and substorms. However, the pressure profiles obtained from
in-situ particle measurements by the high-altitude satellites do not allow
tracking the pressure variations related to the storms and substorms, because a
time interval needed to do this generally exceeds the characteristic times of
them. On contrary, fast movement of low-altitude satellites makes it possible
to retrieve quasi-instantaneous profiles of plasma pressure along the satellite
trajectory, using the fluxes of precipitating particles. For this study, we
used the Aureol-3 satellite data for plasma pressure estimation, and the IGRF,
Tsyganenko 2001 and Tsyganenko 2004 storm time geomagnetic field models for the
pressure mapping into the equatorial plane. It was found that during quiet
geomagnetic condition the radial pressure profiles obtained coincide with the
profiles, obtained previously from the high-altitude measurements. On the
contrary, it was found that during geomagnetic storm the plasma pressure
profiles became sharper; the position of the maximum of plasma pressure
corresponds to expected one for given Dst minimum; the maximum value of inner
magnetosphere static pressure correlates with the solar wind dynamic pressure.
Increase in the plasma pressure profiles indicates the possibility to consider
the interchange instability as one of important factors for the development of
the main phase of geomagnetic storm.


title:
Regularization of spherical and axisymmetric evolution codes in
  numerical relativity

abstract:
  Several interesting astrophysical phenomena are symmetric with respect to the
rotation axis, like the head-on collision of compact bodies, the collapse
and/or accretion of fields with a large variety of geometries, or some forms of
gravitational waves. Most current numerical relativity codes, however, can not
take advantage of these symmetries due to the fact that singularities in the
adapted coordinates, either at the origin or at the axis of symmetry, rapidly
cause the simulation to crash. Because of this regularity problem it has become
common practice to use full-blown Cartesian three-dimensional codes to simulate
axi-symmetric systems. In this work we follow a recent idea idea of Rinne and
Stewart and present a simple procedure to regularize the equations both in
spherical and axi-symmetric spaces. We explicitly show the regularity of the
evolution equations, describe the corresponding numerical code, and present
several examples clearly showing the regularity of our evolutions.


title: Some intricacies of the momentum operator in quantum mechanics

abstract:
  In quantum mechanics textbooks the momentum operator is defined in the
Cartesian coordinates and rarely the form of the momentum operator in spherical
polar coordinates is discussed. Consequently one always generalizes the
Cartesian prescription to other coordinates and falls in a trap. In this work
we introduce the difficulties one faces when the question of the momentum
operator in general curvilinear coordinates arises. We have tried to elucidate
the points related to the definition of the momentum operator taking spherical
polar coordinates as our specimen coordinate system and proposed an elementary
method in which we can ascertain the form of the momentum operator in general
coordinate systems.


title: Principal bundles on $p$-adic curves and parallel transport

abstract:
  We define functorial isomorphisms of parallel transport along \'etale paths
for a class of principal $G$-bundles on a $p$-adic curve. Here $G$ is a
connected reductive algebraic group of finite presentation and the considered
principal bundles are just those with potentially strongly semistable reduction
of degree zero. The constructed isomorphisms yield continous functors from the
\'etale fundamental groupoid of the given curve to the category of topological
spaces with a simply transitive continous right $G(\mathbb{C}_{p})$-action.
This generalizes a construction in the case of vector bundles on a $p$-adic
curve by Deninger and Werner. It may be viewed as a partial $p$-adic analogue
of the classical theory by Ramanathan of principal bundles on compact Riemann
surfaces, which generalizes the classical Narasimhan--Seshadri theory of vector
bundles on compact Riemann surfaces.


title: Measurement of Muon Neutrino Quasi-Elastic Scattering on Carbon

abstract:
  The observation of neutrino oscillations is clear evidence for physics beyond
the standard model. To make precise measurements of this phenomenon, neutrino
oscillation experiments, including MiniBooNE, require an accurate description
of neutrino charged current quasi-elastic (CCQE) cross sections to predict
signal samples. Using a high-statistics sample of muon neutrino CCQE events,
MiniBooNE finds that a simple Fermi gas model, with appropriate adjustments,
accurately characterizes the CCQE events observed in a carbon-based detector.
The extracted parameters include an effective axial mass, M_A^eff = 1.23+/-0.20
GeV, that describes the four-momentum dependence of the axial-vector form
factor of the nucleon; and a Pauli-suppression parameter, kappa =
1.019+/-0.011. Such a modified Fermi gas model may also be used by future
accelerator-based experiments measuring neutrino oscillations on nuclear
targets.


title:
SPEAR far UV spectral imaging of highly ionized emission from the North
  Galactic Pole Region

abstract:
  We present far ultraviolet (FUV: 912 - 1750AA) spectral imaging observations
recorded with the SPEAR satellite of the interstellar OVI (1032AA), CIV
(1550AA), SiIV (1394AA), SiII* (1533AA) and AlII (1671AA) emission lines
originating in a 60 x 30 degree rectangular region lying close to the North
Galactic Pole. These data represent the first large area, moderate spatial
resolution maps of the distribution of UV spectral-line emission originating
the both the highly ionized medium (HIM) and the warm ionized medium (WIM)
recorded at high galactic latitudes.


title:
An Analytic Perturbation Approach for Classical Spinning Particle
  Dynamics

abstract:
  A perturbation method to analytically describe the dynamics of a classical
spinning particle, based on the Mathisson-Papapetrou-Dixon (MPD) equations of
motion, is presented. By a power series expansion with respect to the
particle's spin magnitude, it is shown how to obtain in general form an
analytic representation of the particle's kinematic and dynamical degrees of
freedom that is formally applicable to infinite order in the expansion. Within
this formalism, it is possible to identify a classical analogue of radiative
corrections to the particle's mass and spin due to spin-gravity interaction.
The robustness of this approach is demonstrated by showing how to explicitly
compute the first-order momentum and spin tensor components for arbitrary
particle motion in a general space-time background. Potentially interesting
applications based on this perturbation approach are outlined.


title: Controller synthesis for bisimulation equivalence

abstract:
  The objective of this paper is to solve the controller synthesis problem for
bisimulation equivalence in a wide variety of scenarios including
discrete-event systems, nonlinear control systems, behavioral systems, hybrid
systems and many others. This will be accomplished by showing that the
arguments underlying proofs of existence and methods for the construction of
controllers are extraneous to the particular class of systems being considered
and thus can be presented in greater generality.


title:
Gamma-Ray Bursts as Manifestation of Collisions of Primordial Black
  Holes with Stars

abstract:
  Using the BATSE survey data I find that quite small fraction of GRBs
numbering 37 sources seems to emit the radiation similar to thermal
bremsstrahlung in the range 20 to 300 keV. I suggest that these bursts may
perhaps occur from collision of stars with primordial black holes (PBH). These
objects are relic of a hot matter in the early Universe. PBH in the vicinity of
stars may be found in consequence of incorporation processes during the
formation of stars from interstellar clouds. At present they can form the
gravitationally captured haloes around stars like the family of solar comets.
The comet paradigm has been used to understand various aspects of PBH. Comet
collisions with the Sun and planets are ordinary events in solar system
history. On the analogy, one can support the view that PBH collisions with the
parent star may be quite frequent events in its history, too. PBHs are the
engines driving gamma-ray bursts when collide with the stars. Entering a
stellar atmosphere, PBH is supposed to produce the gamma-ray burst due to
accretion with duration from a few tenths of second to a few seconds. It can
exhibit the main qualitative features of some GRBs. Their masses are estimated
in the range from thousandths to hundredths of the solar mass. I found that
these burst sources are isotropically distributed on the sky and are seen from
a distance up to 50 ps. In this context one may expect that some short GRBs are
observable signatures of primordial black holes in the Universe.


title: Irrationality of motivic series of Chow varieties

abstract:
  The Euler characteristic of all the Chow varieties, of a fixed projective
variety, can be collected in a formal power series called the Euler-Chow
series. This series coincides with the Hilbert series when the Picard group is
a finite generated free abelian group. It is an interesting open problem to
find for which varieties this series is rational. A few cases have been
computed, and it is suspected that the series is not rational for the blow up
of P^2 at nine points in general position.
  It is very natural to extend this series to Chow motives and ask the question
if the series is rational or to find a counterexample. In this short paper we
generalized the series and show by an example that the series is not rational.
This opens the question of what is the geometrical meaning of the Euler-Chow
series.


title: Infinite Product Decomposition of Orbifold Mapping Spaces

abstract:
  Physicists showed that the generating function of orbifold elliptic genera of
symmetric orbifolds can be written as an infinite product. We show that there
exists a geometric factorization on space level behind this infinite product
formula in much more general framework, where factors in the infinite product
correspond to isomorphism classes of connected finite covering spaces of
manifolds involved. From this formula, a concept of geometric Hecke operators
for functors emerges. We show that these Hecke operators indeed satisfy the
usual identity of Hecke operators for the case of 2-dimensional tori.


title:
$^{77}$Se NMR measurements of the $\pi -d$ exchange field in the organic
  conductor $\lambda-$(BETS)$_{2}$FeCl$_{4}$

abstract:
  $^{77}$Se-NMR spectrum and frequency shift measurements in the paramagnetic
metal (PM) and antiferromagnetic insulating (AFI) phases are reported for a
small single crystal of the organic conductor $\lambda-$(BETS)$_{2}$FeCl$_{4}$
as a function of temperature ($T$) and field alignment for an applied magnetic
field $B_{0}$ = 9 T. The results show that in the low $T$ limit, where the
localized Fe$^{3+}$ spins ($S_{d}$ = 5/2) are almost fully polarized, the
conduction electrons (Se $\pi$-electrons, spin $s_{\pi}$ = 1/2) in the BETS
molecules experience an exchange field ($\bf{B}$$_{\pi d}$) from the Fe$^{3+}$
spins with a value of $-$ 32.7 $\pm$ 1.5 T at 5 K and 9 T aligned opposite to
$\bf{B}$$_{0}$. This large negative value of $\bf{B}$$_{\pi d}$ is consistent
with that predicted by the resistivity measurements and supports the
Jaccarino-Peter internal field-compensation mechanism being responsible for the
origin of field-induced superconductivity.


title:
Influence of an external magnetic field on the decoherence of a central
  spin coupled to an antiferromagnetic environment

abstract:
  Using the spin wave approximation, we study the decoherence dynamics of a
central spin coupled to an antiferromagnetic environment under the application
of an external global magnetic field. The external magnetic field affects the
decoherence process through its effect on the antiferromagnetic environment. It
is shown explicitly that the decoherence factor which displays a Gaussian decay
with time depends on the strength of the external magnetic field and the
crystal anisotropy field in the antiferromagnetic environment. When the values
of the external magnetic field is increased to the critical field point at
which the spin-flop transition (a first-order quantum phase transition) happens
in the antiferromagnetic environment, the decoherence of the central spin
reaches its highest point. This result is consistent with several recent
quantum phase transition witness studies. The influences of the environmental
temperature on the decoherence behavior of the central spin are also
investigated.


title:
Experimental Measurement of Multi-dimensional Entanglement via
  Equivalent Symmetric Projection

abstract:
  We construct a linear optics measurement process to determine the
entanglement measure, named \emph{I-concurrence}, of a set of $4 \times 4$
dimensional two-photon entangled pure states produced in the optical parametric
down conversion process. In our experiment, an \emph{equivalent} symmetric
projection for the two-fold copy of single subsystem (presented by L. Aolita
and F. Mintert, Phys. Rev. Lett. \textbf{97}, 050501 (2006)) can be realized by
observing the one-side two-photon coincidence without any triggering detection
on the other subsystem. Here, for the first time, we realize the measurement
for entanglement contained in bi-photon pure states by taking advantage of the
indistinguishability and the bunching effect of photons. Our method can
determine the \emph{I-concurrence} of generic high dimensional bipartite pure
states produced in parametric down conversion process.


title: Ray tracing of ion-cyclotron waves in a coronal funnel

abstract:
  Remote observations of coronal holes have strongly implicated the kinetic
interactions of ion-cyclotron waves with ions as a principal mechanism for
plasma heating and acceleration of the fast solar wind. In order to study these
waves, a linear perturbation analysis is used in the work frame of the
collisionless multi-fluid model. We consider a non-uniform background plasma
describing a funnel region and use the ray tracing equations to compute the ray
path of the waves as well as the spatial variation of their properties.


title: Cap Products in String Topology

abstract:
  Chas and Sullivan showed that the homology of the free loop space
  LM of an oriented closed smooth finite dimensional manifold M admits the
structure of a Batalin-Vilkovisky (BV) algebra equipped with an associative
product called the loop product and a Lie bracket called the loop bracket. We
show that the cap product is compatible with the above two products in the loop
homology. Namely, the cap product with cohomology classes coming from M via the
circle action acts as derivations on loop products as well as on loop brackets.
We show that Poisson identities and Jacobi identities hold for the cap product
action, extending the BV structure in the loop homology to the one including
the cohomology of M. Finally, we describe the cap product in terms of the BV
algebra structure in the loop homology.


title:
Measuring Dark Energy with Gamma-Ray Bursts and Other Cosmological
  Probes

abstract:
  It has been widely shown that the cosmological parameters and dark energy can
be constrained by using data from type-Ia supernovae (SNe Ia), the cosmic
microwave background (CMB) anisotropy, the baryon acoustic oscillation (BAO)
peak from Sloan Digital Sky Survey (SDSS), the X-ray gas mass fraction in
clusters, and the linear growth rate of perturbations at z=0.15 as obtained
from the 2dF Galaxy Redshift Survey. Recently, gamma-ray bursts (GRBs) have
also been argued to be promising standard candles for cosmography. In this
paper, we present constraints on the cosmological parameters and dark energy by
combining a recent GRB sample including 69 events with the other cosmological
probes. First, we find that for the LambdaCDM cosmology this combination makes
the constraints stringent and the best fit is close to the flat universe.
Second, we fit the flat Cardassian expansion model and find that this model is
consistent with the LambdaCDM cosmology. Third, we present constraints on
several two-parameter dark energy models and find that these models are also
consistent with the LambdaCDM cosmology. Finally, we reconstruct the dark
energy equation-of-state parameter w(z) and the deceleration parameter q(z). We
see that the acceleration could have started at a redshift from
z_T=0.40_{-0.08}^{+0.14} to z_T=0.65_{-0.05}^{+0.10}. This difference in the
transition redshift is due to different dark energy models that we adopt. The
most stringent constraint on w(z) lies in the redshift range z\sim 0.3-0.6.


title:
Surface effects on the orbital order in the single layered manganite
  La0.5Sr1.5MnO4

abstract:
  We report the first observation of `orbital truncation rods' -- the
scattering arising from the termination of bulk orbital order at the surface of
a crystal. The x-ray measurements, performed on a cleaved, single-layered
perovskite, La0.5Sr1.5MnO4, reveal that while the crystallographic surface is
atomically smooth, the orbital `surface' is much rougher, with an r.m.s.
deviation from the average `surface' of ~0.7nm. The temperature dependence of
this scattering shows evidence of a surface-induced second order transition.


title:
Coarse differentiation of quasi-isometries II: Rigidity for Sol and
  Lamplighter groups

abstract:
  In this paper, which is the continuation of [EFW2], we complete the proof of
the quasi-isometric rigidity of Sol and the lamplighter groups. The results
were announced in [EFW1].


title:
Local Entanglement Is Not Necessary for Perfect Discrimination between
  Unitary Operations Acting on Two-Qudits by LOCC

abstract:
  Recently, the problem of discriminating multipartite unitary operations by
local operations and classical communication (LOCC) has attracted significant
attention. The latest work in the literature on this problem showed that two
multipartite unitary operations can always be perfectly distinguished by LOCC
when a finite number of runs are allowable. However, in these schemes, local
entanglement (an entangled state holden by one party) was required, which seems
to imply that local entanglement is necessary for perfect discrimination
between unitary operations by LOCC. In this article, we show that a perfect
discrimination between two unitary operations acting on a two-qudits can always
be achieved without exploiting any entanglement. As a result, we conclude that
local entanglement is not necessary for perfect discrimination between unitary
operations acting on two-qudits by LOCC.


title: Puzzles of excited charm meson masses

abstract:
  We attempt a comprehensive analysis of the low lying charm meson states which
present several puzzles, including the poor determination of masses of several
non-strange excited mesons. We use the well-determined masses of the ground
states and the strange first excited states to `predict' the mass of the
non-strange first excited state in the framework of heavy hadron chiral
perturbation theory, an approach that is complementary to the well-known
analysis of Mehen and Springer. This approach points to values for the masses
of these states that are smaller than the experimental determinations. We
provide a critical assessment of these mass measurements and point out the need
for new experimental information.


title: On sums of primes from Beatty sequences

abstract:
  Let $k \ge 2$ and $\alpha_1, \beta_1, ..., \alpha_k, \beta_k$ be reals such
that the $\alpha_i$'s are irrational and greater than 1. Suppose further that
some ratio $\alpha_i/\alpha_j$ is irrational. We study the representations of
an integer $n$ in the form $$ p_1 + p_2 + ... + p_k = n, $$ where $p_i$ is a
prime from the Beatty sequence $$ \mathcal B_i = \left\{n \in \mathbb N : n = [
\alpha_i m + \beta_i ] \text{for some} m \in \mathbb Z \right\}. $$


title: Point Process Analysis of Vortices in a Periodic Box

abstract:
  The motion of assemblies of point vortices in a periodic parallelogram can be
described by the complex position $z_j(t)$ whose time derivative is given by
the sum of the complex velocities induced by other vortices and the solid
rotation centered at $z_j$. A numerical simulation up to 100 vortices in a
square periodic box is performed with various initial conditions, including
single and double rows, uniform spacing, checkered pattern, and complete
spatial randomness. Point process theory in spatial ecology is applied in order
to quantify clustering of the distribution of vortices. In many cases,
clustering of the distribution persists after a long time if the initial
condition is clustered. In the case of positive and negative vortices with the
same absolute value of strength, the $L$ function becomes positive for both
types of vortices. Scattering or recoupling of pairs of vortices by a third
vortex is remarkable.


title:
Correlation between Infrared Colors and Intensity Ratios of SiO Maser
  Lines

abstract:
  We present the results of SiO millimeter-line observations of a sample of
known SiO maser sources covering a wide dust-temperature range. A cold part of
the sample was selected from the SiO maser sources found in our recent SiO
maser survey of cold dusty objects. The aim of the present research is to
investigate the causes of the correlation between infrared colors and SiO maser
intensity ratios among different transition lines. In particular, the
correlation between infrared colors and SiO maser intensity ratio among the
J=1-0 v=1, 2, and 3 lines are mainly concerned in this paper. We observed in
total 75 SiO maser sources with the Nobeyama 45m telescope quasi-simultaneously
in the SiO J=1-0 v=0, 1, 2, 3, 4 and J=2-1 v=1, 2 lines. We also observed the
sample in the 29SiO J=1-0 v=0 and J=2-1 v=0, and 30SiO J=1-0 v=0 lines, and the
H2O 6(1,6)-5(2,3) line. As reported in previous papers, we confirmed that the
intensity ratios of the SiO J=1-0 v=2 to v=1 lines clearly correlate with
infrared colors. In addition, we found possible correlation between infrared
colors and the intensity ratios of the SiO J=1-0 v=3 to v=1&2 lines. Two
overlap lines of H2O (i.e., 11(6,6) nu_2=1 -> 12(7,5) nu_2=0 and 5(0,5) nu_2=2
-> 6(3,4) nu_2=1) might explain these correlation if these overlap lines become
stronger with increase of infrared colors, although the phenomena also might be
explained by more fundamental ways if we take into account the variation of
opacity from object to object.


title:
Flat Moebius strips of given isotopy types in R^3 whose centerlines are
  geodesics or lines of curvature

abstract:
  We construct real analytic flat Moebius strips of arbitrary isotopy types,
whose centerlines are geodesics or lines of curvature.


title: Pumping in quantum dots and non-Abelian matrix Berry phases

abstract:
  We have investigated pumping in quantum dots from the perspective of
non-Abelian (matrix) Berry phases by solving the time dependent Schr{\"o}dinger
equation exactly for adiabatic changes. Our results demonstrate that a pumped
charge is related to the presence of a finite matrix Berry phase. When
consecutive adiabatic cycles are performed the pumped charge of each cycle is
different from the previous ones.


title: TeV scale model for neutrino masses, dark matter and leptogenesis

abstract:
  We present a TeV scale model for leptogenesis where the origin of neutrino
masses are independent of the scale of leptogenesis. As a result, the model
could be extended to explain {\it dark matter, neutrino masses and leptogenesis
at the TeV scale}. The most attractive feature of this model is that it
predicts a few hundred GeV triplet Higgs scalar that can be tested at LHC or
ILC.


title: Microscopic calculation of half lives of spherical proton emitters

abstract:
  Half life values for proton radioactivity in nuclei have been calculated in
the WKB approximation. The microscopic proton-nucleus potential has been
obtained by folding the densities of daughter nuclei with two microscopic NN
interactions, DDM3Y and JLM. The densities have been obtained in the
Relativistic Mean Field approach in the spherical approximation using the force
FSU Gold. No substantial modification of results has been observed if other
common forces are employed. The calculated results for the decays from the
ground state or the low-lying excited states in almost all the nuclei agree
well with experimental measurements. Reasons for large deviations in a few
cases have been discussed. Results in $^{109}$I and $^{112,113}$Cs show that
the effect of deformation is small contrary to earlier calculations.
Predictions for possible proton radioactivity have been made in two nuclei,
$^{93}$Ag and $^{97}$In.


title: The Origin of the Arches Stellar Cluster Mass Function

abstract:
  We investigate the time evolution of the mass distribution of pre-stellar
cores (PSCs) and their transition to the initial stellar mass function (IMF) in
the central parts of a molecular cloud (MC) under the assumption that the
coalescence of cores is important. Our aim is to explain the observed shallow
IMF in dense stellar clusters such as the Arches cluster. The initial
distributions of PSCs at various distances from the MC center are those of
gravitationally unstable cores resulting from the gravo-turbulent fragmentation
of the MC. As time evolves, there is a competition between the PSCs rates of
coalescence and collapse. Whenever the local rate of collapse is larger than
the rate of coalescence in a given mass bin, cores are collapsed into stars.
With appropriate parameters, we find that the coalescence-collapse model
reproduces very well all the observed characteristics of the Arches stellar
cluster IMF; Namely, the slopes at high and low mass ends and the peculiar bump
observed at ~5-6 M_sol. Our results suggest that today's IMF of the Arches
cluster is very similar to the primordial one and is prior to the dynamical
effects of mass segregation becoming important


title: Nonclassical correlation properties of radiation fields

abstract:
  A full characterization of nonclassical space-time dependent correlations of
radiation is formulated in terms of normally and time-ordered field correlation
functions. It describes not only the properties of initially prepared multimode
radiation fields, but also the dynamics of radiation sources. Some of these
correlation effects occur in the resonance fluorescence of a single two-level
atom.


title: The Local Langlands Conjecture for GSp(4)

abstract:
  We prove the local Langlands conjecture for $GSp_4(F)$ where $F$ is a
non-archimedean local field of characteristic zero.


title:
Complex CKM matrix, spontaneous CP violation and generalized
  $\mu$-$\tau$ symmetry

abstract:
  The multi-Higgs models having spontaneous CP violation (SPCV) and natural
flavor conservation (NFC) lead to a real CKM matrix $V$ contradicting current
evidence in favour of a complex $V$. This contradiction can be removed by using
a generalized $\mu$-$\tau$ (called 23) symmetry in place of the discrete
symmetry conventionally used to obtain NFC. If 23 symmetry is exact then the
Higgs induced flavour changing neutral currents (FCNC) vanish as in case of
NFC. 23 breaking introduces SPCV, a phase in $V$ and suppressed FCNC among
quarks. The FCNC couplings $F_{ij}^{d,u}$ between $i$ and $j$ generations show
a hierarchy $|F_{12}^{d,u}|<|F_{13}^{d,u}|<|F_{23}^{d,u}|$ with the result that
the FCNC can have observable consequences in $B$ mixing without conflicting
with the $K^0-\bar{K}^0$ mixing. Detailed fits to the quark masses and the CKM
matrix are used to obtain the (complex) couplings $F_{ij}^d$ and $F_{ij}^u$.
Combined constraints from flavour and CP violations in the $K,B_d,B_s,D$ mesons
are analyzed within the model. They allow ($i$) relatively light Higgs, 100-150
GeV ($ii$) measurable extra contributions to the magnitudes and phases of the
$B^0_{d,s}-\bar{B}^0_{d,s}$ mixing amplitudes and ($iii$) the $D^0-\bar{D}^0$
mixing at the current sensitivity level.


title: Growth and mixing

abstract:
  Given a bi-Lipschitz measure-preserving homeomorphism of a compact metric
measure space of finite dimension, consider the sequence formed by the
Lipschitz norms of its iterations. We obtain lower bounds on the growth rate of
this sequence assuming that our homeomorphism mixes a Lipschitz function. In
particular, we get a universal lower bound which depends on the dimension of
the space but not on the rate of mixing. Furthermore, we get a lower bound on
the growth rate in the case of rapid mixing. The latter turns out to be sharp:
the corresponding example is given by a symbolic dynamical system associated to
the Rudin-Shapiro sequence.


title: Integrating out strange quarks in ChPT

abstract:
  We study three flavour chiral perturbation theory in a limit where the
strange quark mass is much larger than the external momenta and the up and down
quark masses, and where the external fields are those of two-flavour chiral
perturbation theory. In this case, the theory reduces to the one of SU(2)_L x
SU(2)_R. Through this reduction, one can work out the strange quark mass
dependence of the LECs in the two-flavour case. We present the pertinent
relations at two-loop order for F,B and l_i.


title:
Search for deconfinement in the cluster at ultrarelativistic heavy ion
  collisions

abstract:
  Some of the centrality experiments indicate regime change and saturation in
the behavior of characteristics of the secondary particles. It is observed as a
critical phenomenon for hadron-nuclear, nuclear-nuclear interactions and
ultrarelativistic heavy ion collisions. The existing simple models do not
explain the effect. We believe that the responsible mechanism to explain the
phenomena could be the percolation cluster formation and expect appearance of
deconfinement in the cluster.


title: Winding numbers and SU(2)-representations of knot groups

abstract:
  Given an abelian group $A$ and a Lie group $G$, we construct a bilinear
pairing from $A\times\pi_1({\mathcal R})$ to $\pi_1(G)$, where $\mathcal R$ is
a subvariety of the variety of representations $A\to G$.
  In the case where $A$ is the peripheral subgroup of a torus or two-bridge
knot group, $G=S^1$ and $\mathcal R$ is a certain variety of representations
arising from suitable SU(2)-representations of the knot group, we show that
this pairing is not identically zero. We discuss the consequences of this
result for the SU(2)-representations of fundamental groups of manifolds
obtained by Dehn surgery on such knots.


title:
Simulation of symmetric nuclei and the role of Pauli potential in
  binding energies and radii

abstract:
  It is shown that the use of a density dependent effective Pauli potential
together with a nucleon-nucleon interaction potential plays a crucial role to
reproduce not only the binding energies but also the matter root mean square
radii of medium mass range spin-isospin saturated nuclei. This study is
performed with a semiclassical Monte Carlo many-body simulation within the
context of a simplified nucleon-nucleon interaction to focus on the effect of
the genuine correlations due to the fermionic nature of nucleons. The procedure
obtained is rather robust and it does not depend on the detailed features of
the nucleon-nucleon interaction. For nuclei below saturation the density
dependence may be represented in terms either of the nucleon number, $A$, or
the associated Fermi momenta. When testing the simulation procedure for
idealized "infinite" symmetric nuclear matter within the corresponding range of
densities, it turns out that finite size effects affect the Pauli potential
strength parametrization in systems up to about 120 particles while remaining
approximately stable for larger systems.


title:
Quantum Field Theoretical Analysis on Unstable Behavior of Bose-Einstein
  Condensates in Optical Lattices

abstract:
  We study the dynamics of Bose-Einstein condensates flowing in optical
lattices on the basis of quantum field theory. For such a system, a
Bose-Einstein condensate shows a unstable behavior which is called the
dynamical instability. The unstable system is characterized by the appearance
of modes with complex eigenvalues. Expanding the field operator in terms of
excitation modes including complex ones, we attempt to diagonalize the
unperturbative Hamiltonian and to find its eigenstates. It turns out that
although the unperturbed Hamiltonian is not diagonalizable in the conventional
bosonic representation the appropriate choice of physical states leads to a
consistent formulation. Then we analyze the dynamics of the system in the
regime of the linear response theory. Its numerical results are consitent with
as those given by the discrete nonlinear Schrodinger equation.


title: On classification and construction of algebraic Frobenius manifolds

abstract:
  We develop the theory of generalized bi-Hamiltonian reduction. Applying this
theory to a suitable loop algebra we recover a generalized Drinfeld-Sokolov
reduction. This gives a way to construct new examples of algebraic Frobenius
manifolds.


title:
The InterHourly-Variability (IHV) Index of Geomagnetic Activity and its
  Use in Deriving the Long-term Variation of Solar Wind Speed

abstract:
  We describe the derivation of the InterHourly Variability (IHV) index of
geomagnetic activity. The IHV-index for a geomagnetic element is mechanically
derived from hourly values as the sum of the unsigned differences between
adjacent hours over a seven-hour interval centered on local midnight. The index
is derived separately for stations in both hemispheres within six longitude
sectors using only local night hours. It is intended as a long-term index.
Available data allows derivation of the index back well into the 19th century.
On a time scale of a 27-day Bartels rotation, IHV averages for stations with
corrected geomagnetic latitude less than 55 degrees are strongly correlated
with midlatitude range indices. Assuming a constant calibration of the aa-index
we find that observed yearly values of aa before the year 1957 are 2.9 nT too
small compared to values calculated from IHV using the regression constants
based on 1980-2004. We interpret this discrepancy as an indication that the
calibration of the aa index is in error before 1957. There is no such problem
with the ap index. Rotation averages of IHV are also strongly correlated with
solar wind parameters (BV^2). On a time scale of a year combining the IHV-index
and the recently-developed Inter-Diurnal Variability (IDV) index (giving B)
allows determination of solar wind speed, V, from 1890-present. Over the
~120-year series, the yearly mean solar wind speed varied from a low of 303
km/s in 1902 to a high value of 545 km/s in 2003. The calculated yearly values
of the product BV using B and V separately derived from IDV and IHV agree
quantitatively with (completely independent) BV derived from the amplitude of
the diurnal variation of the H component in the polar caps since 1926 and
sporadically beyond.


title: Chromo-electric Yang-Mills gauge fields

abstract:
  We obtain static gauge field configurations for SU(2) Yang-Mills gauge theory
in the absence of chromo-magnetic field. We also present a systematic way to
obtain such configurations for SU(3) and SU(4) YM gauge theories by realizing
their Lie algebras in terms of SU(2). Generalization of our method to SU(N)
gauge theory with N>2 is straight forward. The gauge fields thus obtained are
complex. We investigated the issue of uniform as well as real chromo-electric
field with these configurations. Furthermore, we investigated the possible
class of vacuum solutions for the gauge fields and found that they are gauge
inequivalent to the usual vacuum configuration $A^a_{\mu}=0$.


title: c-quark decay modes in B_c-meson

abstract:
  We discuss the possibility for observing $B_c$ mesons in decay channels with
$B_s$ in final state.


title:
Ray space Riccati evolution and geometric phases for N-level quantum
  systems

abstract:
  We present a simple derivation of the matrix Riccati equations governing the
reduced dynamics as one descends from the group U(N) describing the
Schroedinger evolution of an N-level quantum system to the various coset
spaces, Grassmanian manifolds, associated with it. The special case pertaining
to the geometric phase in N-level systems is described in detail. Further, we
show how the matrix Riccati equation thus obtained can be reformulated as an
equation describing Hamiltonian evolution in a classical phase space and
establish correspondences between the two descriptions.


title:
An evaluation of possible mechanisms for anomalous resistivity in the
  solar corona

abstract:
  A wide variety of transient events in the solar corona seem to require
explanations that invoke fast reconnection. Theoretical models explaining fast
reconnection often rely on enhanced resistivity. We start with data derived
from observed reconnection rates in solar flares and seek to reconcile them
with the chaos-induced resistivity model of Numata & Yoshida (2002) and with
resistivity arising out of the kinetic Alfv\'en wave (KAW) instability. We find
that the resistivities arising from either of these mechanisms, when localized
over lengthscales of the order of an ion skin depth, are capable of explaining
the observationally mandated Lundquist numbers.


title:
Isospin dependence of incompressibility in relativistic and
  non-relativistic mean field calculations

abstract:
  The isospin dependence of incompressibility is investigated in the Skyrme
Hartree-Fock (SHF) and relativistic mean field (RMF) models. The correlations
between the nuclear matter incompressibility and the isospin dependent term of
the finite nucleus incompressibility is elucidated by using the Thomas-Fermi
approximation. The Coulomb term is also studied by using various different
Skyrme
  Hamiltonians and RMF Lagrangians. The symmetry energy coefficient of
incompressibility is extracted to be K_{\tau}=-(500\pm50) MeV from the recent
experimental data of isoscalar giant monopole resonances (ISGMR) in Sn
isotopes. Microscopic HF+random phase approximation (RPA) calculations are also
performed with Skyrme interactions for ^{208}Pb and Sn isotopes to study the
strength distributions of ISGMR. .


title: Elementary gates for cartoon computation

abstract:
  The basic one-bit gates (X, Y, Z, Hadamard, phase, pi/8) as well as the
controlled cnot and Toffoli gates are reformulated in the language of
geometric-algebra quantum-like computation. Thus, all the quantum algorithms
can be reformulated in purely geometric terms without any need of tensor
products.


title: Non-adiabatic transport in a quantum dot turnstile

abstract:
  We present a theoretical study of the electronic transport through a
many-level quantum dot driven by time-dependent signals applied at the contacts
to the leads. If the barriers oscillate out of phase the system operates like a
turnstile pump under a finite constant bias, as observed in the experiments of
Kouwenhoven {\it et al.} [Phys. Rev. Lett. {\bf 67}, 1626 (1991)]. The
time-dependent currents and their averages over succesive pumping periods are
computed from the Keldysh formalism for tight-binding models. The calculation
considers a sudden application of the pumping potentials at $t=0$ which leads
to transient features of the time-dependent and averaged currents during the
first pumping cycles which turn out to be important in the high-frequency
regime. We show that in the transient regime the efficiency of the system as a
pump is rather poor because it mainly absorbs charge from both leads in order
to fill the levels located below the bias window. Under a finite bias and a
low-frequency pumping signal the charge transferred across the system depends
on the number of levels located within the bias window. The internal charge
dynamics and the role of energy sidebands are investigated. The so called
satellite peaks of the averaged current are observed also in the transient
regime.


title:
An Optimal Algorithm to Generate Pointed Trivalent Diagrams and Pointed
  Triangular Maps

abstract:
  A trivalent diagram is a connected, two-colored bipartite graph (parallel
edges allowed but not loops) such that every black vertex is of degree 1 or 3
and every white vertex is of degree 1 or 2, with a cyclic order imposed on
every set of edges incident to to a same vertex. A rooted trivalent diagram is
a trivalent diagram with a distinguished edge, its root. We shall describe and
analyze an algorithm giving an exhaustive list of rooted trivalent diagrams of
a given size (number of edges), the list being non-redundant in that no two
diagrams of the list are isomorphic. The algorithm will be shown to have
optimal performance in that the time necessary to generate a diagram will be
seen to be bounded in the amortized sense, the bound being independent of the
size of the diagrams. That's what we call the CAT property. One objective of
the paper is to provide a reusable theoretical framework for algorithms
generating exhaustive lists of complex combinatorial structures with attention
paid to the case of unlabeled structures and to those generators having the CAT
property.


title: A Counterexample to the Quantizability of Modules

abstract:
  Let a Poisson structure on a manifold M be given. If it vanishes at a point
m, the evaluation at m defines a one dimensional representation of the Poisson
algebra of functions on M. We show that this representation can, in general,
not be quantized. Precisely, we give a counterexample for M=R^n, such that:
  (i) The evaluation map at 0 can not be quantized to a representation of the
algebra of functions with product the Kontsevich product associated to the
Poisson structure.
  (ii) For any formal Poisson structure extending the given one and vanishing
at zero up to second order in epsilon, (i) still holds.
  We do not know whether the second claim remains true if one allows the higher
order terms in epsilon to attain nonzero values at zero.


title: A method to find ideal points from ideal triangulations

abstract:
  We give a simple method to find ideal points of the character variety of a
3-manifold from an ideal triangulation.


title:
Congruence for rational points over finite fields and coniveau over
  local fields

abstract:
  If the $\ell$-adic cohomology of a projective smooth variety, defined over a
local field $K$ with finite residue field $k$, is supported in codimension $\ge
1$, then every model over the ring of integers of $K$ has a $k$-rational point.
For $K$ a $p$-adic field, this is math/0405318, Theorem 1.1. If the model $\sX$
is regular, one has a congruence $|\sX(k)|\equiv 1 $ modulo $|k|$ for the
number of $k$-rational points 0704.1273, Theorem 1.1. The congruence is
violated if one drops the regularity assumption.


title: Spacelike mean curvature one surfaces in de Sitter 3-space

abstract:
  The first author studied spacelike constant mean curvature one (CMC-1)
surfaces in de Sitter 3-space when the surfaces have no singularities except
within some compact subset and are of finite total curvature on the complement
of this compact subset. However, there are many CMC-1 surfaces whose singular
sets are not compact. In fact, such examples have already appeared in the
construction of trinoids given by Lee and the last author via hypergeometric
functions. In this paper, we improve the Osserman-type inequality given by the
first author. Moreover, we shall develop a fundamental framework that allows
the singular set to be non-compact, and then will use it to investigate the
global behavior of CMC-1 surfaces.


title: Viable Palatini-f(R) cosmologies with generalized dark matter

abstract:
  We study the formation of large-scale structure in universes dominated by
dark matter and driven to accelerated expansion by f(R) gravity in the Palatini
formalism. If the dark matter is cold, practically all of these models are
ruled out because they fail to reproduce the observed matter power spectrum. We
point out that if the assumption that dark matter is perfect and pressureless
at all scales is relaxed, nontrivial alternatives to a cosmological constant
become viable within this class of modified gravity models.


title:
Combined Extended Rejoinder to "Extended Comment on "One-Range Addition
  Theorems for Coulomb Interaction Potential and Its Derivatives" by I. I.
  Guseinov (Chem. Phys., Vol. 309 (2005), pp. 209-213)"

abstract:
  This article is a thorough critique to the Weniger's comments made to our
papers published in prestigious journals in the recent years. A detailed and
critical examination of the arguments that led to the suggested comment by
Weniger reveals some serious flaws. In our published papers we have shown that
the unsymmetrical and symmetrical one-range addition theorems for Slater type
orbitals, Coulomb-Yukawa like correlated interaction potentials (CIPs) and
their derivatives are derived from the expansions in terms of -ETOs that are
complete and orthonormal sets of exponential type orbitals in corresponding
Hilbert spaces, where The concrete criticism raised in Weniger's comment
against our papers actually touches a very minor aspect of the works that are
not relevant at all for the conclusions, which are made. As can be seen from
our papers, all of the formulas for different kinds of multicenter integrals
over Slater type orbitals with integer and noninteger principal quantum numbers
obtained by the use of unsymmetrical and symmetrical one-range addition
theorems were tested by computer calculations. We reject the Weniger's personal
views about papers published by Guseinov and his coworkers from 1978 to 2006
and respectable referees on one-range addition theorems and multicenter
integrals. All claims of inconsistencies and flaws in the theoretical framework
are rejected as unfounded. This rejoinder paper contains all of the answers to
Weniger's comments.


title: One-loop N=8 Supergravity Amplitudes from MHV Diagrams

abstract:
  We discuss the calculation of one-loop amplitudes in N=8 supergravity using
MHV diagrams. In contrast to MHV amplitudes of gluons in Yang-Mills, tree-level
MHV amplitudes of gravitons are not holomorphic in the spinor variables. In
order to extend these amplitudes off shell, and use them as vertices to build
loops, we introduce certain shifts for the spinor variables associated to the
loop momenta. Using this off-shell prescription, we rederive the four-point MHV
amplitude of gravitons at one loop, in complete agreement with known results.
We also discuss the extension to the case of one-loop MHV amplitudes with an
arbitrary number of gravitons.


title: Light Heavy MSSM Higgs Bosons at Large tan_beta

abstract:
  The region of MSSM Higgs parameter space currently excluded by the CDF
Collaboration, based on an analysis of ~1 fb^-1 of integrated luminosity, is
less than the expected sensitivity. We analyze the potential implications of
the persistence of this discrepancy within the MSSM, assuming that the soft
supersymmetry-breaking contributions to scalar masses are universal, apart from
those to the Higgs masses (the NUHM model). We find that a light heavy MSSM
Higgs signal in the unexcluded part of the sensitive region could indeed be
accommodated in this simple model, even after taking into account other
constraints from cold dark matter, electroweak precision observables and B
physics observables. In this case the NUHM suggests that supersymmetric
signatures should also be detectable in the near future in some other
measurements such as BR(B_s -> mu+ mu-), BR(b -> s gamma) and (g-2)_mu, and M_h
would have to be very close to the LEP exclusion limit. In addition, the dark
matter candidate associated with this model should be on the verge of detection
in direct detection experiments.


title: The Canonical Ensemble and the Central Limit Theorem

abstract:
  Some of the more powerful results of mathematical statistics are becoming of
increasing importance in statistical mechanics. Here the use of the central
limit theorem in conjunction with the canonical ensemble is shown to lead to an
interesting and important new insight into results associated with the
canonical ensemble. This theoretical work is illustrated numerically and it is
shown how this numerical work can form the basis of an undergraduate laboratory
experiment which should help to implant ideas of statistical mechanics in
students' minds.


title: Quiver Gauge Theory and Noncommutative Vortices

abstract:
  We construct explicit BPS and non-BPS solutions of the Yang-Mills equations
on noncommutative spaces R^{2n}_theta x G/H which are manifestly G-symmetric.
Given a G-representation, by twisting with a particular bundle over G/H, we
obtain a G-equivariant U(k) bundle with a G-equivariant connection over
R^{2n}_theta x G/H. The U(k) Donaldson-Uhlenbeck-Yau equations on these spaces
reduce to vortex-type equations in a particular quiver gauge theory on
R^{2n}_theta. Seiberg-Witten monopole equations are particular examples. The
noncommutative BPS configurations are formulated with partial isometries, which
are obtained from an equivariant Atiyah-Bott-Shapiro construction. They can be
interpreted as D0-branes inside a space-filling brane-antibrane system.


title: Trans-Planckian Issue in the Milne Universe

abstract:
  The ``trans-Planckian'' challenge in cosmology appears when we trace the
present physical wavelengths of fluctuations backwards in time. They become
smaller and smaller until crossing the Planck scale where conventional QFT is
challenged, so that unknown ultraviolet physics may be traced in the observable
cosmological fluctuations. Usually this issue is addressed in the inflationary
context, but trans-Planckian reasoning is much broader. We examine this logic
in a simple example of scalar quantum field theory in the expanding and
contracting Milne universes, where wavelengths of the eigenmodes are red- or
blue-shifted. Trans-Planckian modifications of QFT should result in a
UV-dependent VeV of the energy momentum tensor of a scalar field in the Milne
universe. On the other hand, the Milne universe is another coordinate systems
of flat Minkowski space-time, and the covariant energy momentum tensor should
be the same (but vacuum-dependent) in different coordinates of flat space time.
We explicitly demonstrate that in conventional QFT the energy momentum tensor,
choosing the adiabatic vacuum, is identical to zero in Minkowski coordinates,
and remains zero in the contracting Milne universe (due to non-trivial
cancellations of contributions from particles which appear in the accelerating
frame and from vacuum polarization there). In contrast to this, the
trans-Planckian modification of the energy momentum tensor is not motivated. We
provide a similar argument for the expanding Milne universe, where the energy
momentum tensor in the conformal vacuum is non-zero. Similar arguments are
applicable for other cosmological models where the curvature is much lower than
Planckian which leads to conflicts with trans-Planckian considerations.


title: Primordial Perturbations During a Slow Expansion

abstract:
  Recently, it has been showed that a slow expansion, which is asymptotically a
static state in infinite past and may be described as an evolution with
\epsilon \ll -1, of early universe may lead to the generation of primordial
perturbation responsible for the structure formation of observable universe.
However, its feasibility depends on whether the growing mode of Bardeen
potential before phase transition can be inherited by the constant mode of
curvature perturbation after phase transition. In this note, we phenomenally
regard this slow expansion as that driven by multi NEC violating scalar fields.
We calculate the curvature perturbation induced by the entropy perturbation
before phase transition, and find that the spectrum is naturally scale
invariant with a slight red tilt. The result has an interesting similarity to
that of slow roll inflation.


title:
Dielectric Relaxation and Phase Transition at Cryogenic Temperatures in
  0.65[Pb(Ni_1/3Nb_2/3)O_3]-0.35PbTiO_3 Ceramics

abstract:
  Dielectric measurements on 0.65[Pb(Ni_1/3Nb_2/3)O_3]-0.35PbTiO_3 ceramic in
the temperature range 90K to 470K shows a relaxor ferroelectric transition
around 350K with a Vogel-Fulcher freezing temperature of 338K and appearance of
a non-ergodic relaxor ferroelectric phase of tetragonal structure at room
temperature. This non-ergodic phase reenters into the relaxor state at low
temperatures as evidenced by the appearance of a frequency dependent anomaly in
the imaginary part of the dielectric constant around 160K, similar to those
reported in other relaxor ferroelectric based morphotropic phase boundary
ceramics. The polarization relaxation time for the 160K anomaly also follows
Vogel-Fulcher type temperature dependence. Temperature dependent magnetization
measurements show that this low temperature anomaly is not linked with any
magnetic transition. Elastic modulus and low temperature x-ray diffraction
(XRD) measurements reveal a tetragonal to monoclinic phase transition around
225K. It is argued that the low temperature dielectric dispersion around 160K
results from the freezing of mesoscopic conformally miniaturized monoclinic
domains formed inside the parent tetragonal domains below the structural phase
transition temperature of 225K.


title:
Anomalies and Hawking radiation from the Reissner-Nordstr\"om black hole
  with a global monopole

abstract:
  We extend the work by S. Iso, H. Umetsu and F. Wilczek [Phys. Rev. Lett. 96
(2006) 151302] to derive the Hawking flux via gauge and gravitational anomalies
of a most general two-dimensional non-extremal black hole space-time with the
determinant of its diagonal metric differing from the unity ($\sqrt{-g} \neq
1$) and use it to investigate Hawking radiation from the Reissner-Nordstrom
black hole with a global monopole by requiring the cancellation of anomalies at
the horizon. It is shown that the compensating energy momentum and gauge fluxes
required to cancel gravitational and gauge anomalies at the horizon are
precisely equivalent to the $(1+1)$-dimensional thermal fluxes associated with
Hawking radiation emanating from the horizon at the Hawking temperature. These
fluxes are universally determined by the value of anomalies at the horizon.


title: Deconstructing triplet nucleon-nucleon scattering

abstract:
  Nucleon-nucleon scattering in spin-triplet channels is analysed within an
effective field theory where one-pion exchange is treated nonperturbatively.
Justifying this requires the identification of an additional low-energy scale
in the strength of that potential. Short-range interactions are organised
according to the resulting power counting, in which the leading term is
promoted to significantly lower order than in the usual perturbative counting.
In each channel there is a critical momentum above which the waves probe the
singular core of the tensor potential and the new counting is necessary. When
the effects of one- and two-pion exchange have been removed using a
distorted-wave Born approximation, the residual scattering in waves with L<=2
is well described by the first three terms in the new counting. In contrast,
the scattering in waves with L>=3 is consistent with the perturbative counting,
at least for energies up to 300 MeV. This pattern is in agreement with
estimates of the critical momenta in these channels.


title: Bulk Entropy in Loop Quantum Gravity

abstract:
  In the framework of loop quantum gravity (LQG), having quantum black holes in
mind, we generalize the previous boundary state counting (gr-qc/0508085) to a
full bulk state counting. After a suitable gauge fixing we are able to compute
the bulk entropy of a bounded region (the "black hole") with fixed boundary.
This allows us to study the relationship between the entropy and the boundary
area in details and we identify a holographic regime of LQG where the leading
order of the entropy scales with the area. We show that in this regime we can
fine tune the factor between entropy and area without changing the Immirzi
parameter.


title: Inflaton Decay in Supergravity

abstract:
  We discuss inflaton decay in supergravity, taking account of the
gravitational effects. It is shown that, if the inflaton has a nonzero vacuum
expectation value, it generically couples to any matter fields that appear in
the superpotential at the tree level, and to any gauge sectors through
anomalies in the supergravity. Through these processes, the inflaton
generically decays into the supersymmetry breaking sector, producing many
gravitinos. The inflaton also directly decays into a pair of the gravitinos. We
derive constraints on both inflation models and supersymmetry breaking
scenarios for avoiding overproduction of the gravitinos. Furthermore, the
inflaton naturally decays into the visible sector via the top Yukawa coupling
and SU(3)_C gauge interactions.


title:
Dynamical constraints on the component masses of the cataclysmic
  variable WZ Sge

abstract:
  We present phase-resolved spectroscopy of the short period cataclysmic
variable WZ Sge obtained with the Hubble Space Telescope. We were able to
resolve the orbital motion of a number of absorption lines that likely probe
the environment near the accreting white dwarf. The radial velocities derived
from simultaneous fits to 13 absorption lines indicate an orbital velocity
semi-amplitude of K_UV = 47 +/- 3 km/s. However, we find that the phase zero is
offset from the white dwarf ephemeris by +0.1. Our offset and velocity
amplitude are very similar to constraints derived from optical emission lines
from the quiescent accretion disk, despite the fact that we are probing
material much closer to the primary. If we associate the UV amplitude with K_1,
our dynamical constraints together with the K_2 estimates from Steeghs et al.
(2001) and the known binary inclination of i=77+/-2 imply 0.88<M_1<1.53 M_sun,
0.078 < M_2 < 0.13 M_sun and 0.075<q=M_2/M_1<0.101. If we interpret the mean
velocity of the UV lines (-16+/-4 km/s) as being due to the gravitational
red-shift caused in the high-g environment near the white dwarf, we find
v_grav=56+/-5 km/s which provides an independent estimate on the mass of the
primary of M_1=0.85+/-0.04 M_sun when coupled with a mass-radius relation. Our
primary mass estimates are in excellent agreement and are also self-consistent
with spectrophotometric fits to the UV fluxes despite the observed phase
offset. It is at this point unclear what causes the observed phase-offset in
the UV spectra and by how much it distorts the radial velocity signature from
the underlying white dwarf.


title: Riemann-Roch theorems and elliptic genus for virtually smooth Schemes

abstract:
  For a proper scheme X with a fixed 1-perfect obstruction theory, we define
virtual versions of holomorphic Euler characteristic, chi y-genus, and elliptic
genus; they are deformation invariant, and extend the usual definition in the
smooth case. We prove virtual versions of the Grothendieck-Riemann-Roch and
Hirzebruch-Riemann-Roch theorems. We show that the virtual chi y-genus is a
polynomial, and use this to define a virtual topological Euler characteristic.
We prove that the virtual elliptic genus satisfies a Jacobi modularity
property; we state and prove a localization theorem in the toric equivariant
case. We show how some of our results apply to moduli spaces of stable sheaves.


title:
Search for Coincidences in Time and Arrival Direction of Auger Data with
  Astrophysical Transients

abstract:
  The data collected by the Pierre Auger Observatory are analyzed to search for
coincidences between the arrival directions of high-energy cosmic rays and the
positions in the sky of astrophysical transients. Special attention is directed
towards gamma ray observations recorded by NASA's Swift mission, which have an
angular resolution similar to that of the Auger surface detectors. In
particular, we check our data for evidence of a signal associated with the
giant flare that came from the soft gamma repeater 1806-20 on December 27,
2004.


title:
Analytical approximation schemes for solving exact renormalization group
  equations in the local potential approximation

abstract:
  The relation between the Wilson-Polchinski and the Litim optimized ERGEs in
the local potential approximation is studied with high accuracy using two
different analytical approaches based on a field expansion: a recently proposed
genuine analytical approximation scheme to two-point boundary value problems of
ordinary differential equations, and a new one based on approximating the
solution by generalized hypergeometric functions. A comparison with the
numerical results obtained with the shooting method is made. A similar accuracy
is reached in each case. Both two methods appear to be more efficient than the
usual field expansions frequently used in the current studies of ERGEs (in
particular for the Wilson-Polchinski case in the study of which they fail).


title:
Non-axisymmetric oscillations of differentially rotating relativistic
  stars

abstract:
  Non-axisymmetric oscillations of differentially rotating stars are studied
using both slow rotation and Cowling approximation. The equilibrium stellar
models are relativistic polytropes where differential rotation is described by
the relativistic j-constant rotation law. The oscillation spectrum is studied
versus three main parameters: the stellar compactness $M/R$, the degree of
differential rotation $A$ and the number of maximun couplings $\ell_{\rm max}$.
It is shown that the rotational splitting of the non-axisymmetric modes is
strongly enhached by increasing the compactness of the star and the degree of
differential rotation. Finally, we investigate the relation between the
fundamental quadrupole mode and the corotation band of differentially rotating
stars.


title:
A note on Klein-Gordon equation in a generalized Kaluza-Klein monopole
  background

abstract:
  We investigate solutions of the Klein-Gordon equation in a class of five
dimensional geometries presenting the same symmetries and asymptotic structure
as the Gross-Perry-Sorkin monopole solution. Apart from globally regular
metrics, we consider also squashed Kaluza-Klein black holes backgrounds.


title: v1-periodic homotopy groups of the Dwyer-Wilkerson space

abstract:
  The Dwyer-Wilkerson space DI(4) is the only exotic 2-compact group. We
compute its v1-periodic homotopy groups.


title:
Correlation Properties of the Electron-Hole Plasma Interecting with the
  Exciton Gas and the Formation of Inhomogeneous State

abstract:
  The correlation properties of the cold system consisting of the electron-hole
plasma interacting with the exciton gas are analyzed. It is shown that the
homogeneous state of the system is unstable and in the stationary state the
densities of the electron-hole plasma and exciton gas are modulated.


title: Between Pacifism and Nuclear Energy (1930-1955)

abstract:
  The atomic bomb American program known as Manhattan Project has been studied
in detail. Historians argue that the beginning of this program is rooted in the
letter Einstein sent to American President Roosevelt in the summer of 1939.
This article examines Einstein's activities before 1933 as radical pacifist in
favor of the principles of universal disarmament and outspoken supporter of
individual war resistance and the shift of this posture when Hitler came to
power in 1933. In this context, we discuss the role played by nuclear
physicists during the Second World War and Einstein's decision to promote the
construction of an atomic weapon in the United States. Finally, the article
analyzes Einstein's struggle against the atomic race during the beginning of
the cold war.


title:
Non-Markovian entanglement dynamics of quantum continuous variable
  systems in thermal environments

abstract:
  We study two continuous variable systems (or two harmonic oscillators) and
investigate their entanglement evolution under the influence of non-Markovian
thermal environments. The continuous variable systems could be two modes of
electromagnetic fields or two nanomechanical oscillators in the quantum domain.
We use quantum open system method to derive the non-Markovian master equations
of the reduced density matrix for two different but related models of the
continuous variable systems. The two models both consist of two interacting
harmonic oscillators. In model A, each of the two oscillators is coupled to its
own independent thermal reservoir, while in model B the two oscillators are
coupled to a common reservoir. To quantify the degrees of entanglement for the
bipartite continuous variable systems in Gaussian states, logarithmic
negativity is used. We find that the dynamics of the quantum entanglement is
sensitive to the initial states, the oscillator-oscillator interaction, the
oscillator-environment interaction and the coupling to a common bath or to
different, independent baths.


title: Slow dynamics in a model of the cellulose network

abstract:
  We present numerical simulations of a model of cellulose consisting of long
stiff rods, representing cellulose microfibrils, connected by stretchable
crosslinks, representing xyloglucan molecules, hydrogen bonded to the
microfibrils. Within a broad range of temperature the competing interactions in
the resulting network give rise to a slow glassy dynamics. In particular, the
structural relaxation described by orientational correlation functions shows a
logarithmic time dependence. The glassy dynamics is found to be due to the
frustration introduced by the network of xyloglucan molecules. Weakening of
interactions between rod and xyloglucan molecules results in a more marked
reorientation of cellulose microfibrils, suggesting a possible mechanism to
modify the dynamics of the plant cell wall.


title:
New aspects in the Bragg Glass-Disordered phase transition: an analysis
  based on the 3rd harmonics of the AC magnetic susceptibility

abstract:
  We analyse the phase transition between the Bragg Glass and the Disordered
phase in the vortex lattice in type-II superconductors, both by analytical
computations and experimental investigations. It is known that if the Peak
Effect can be detected, a Bragg Glass/Disordered phase transition takes place.
We show that, in some conditions, this transition can occur without the
observation of the Peak Effect Phenomenon. We introduce a method based on the
3rd harmonics of the AC magnetic susceptibility to detect the transition also
in these cases. Using this method, we obtain an experimental confirmation of
the theoretical predictions on sphere shaped V3Si single crystals, in the high
fields/low temperatures range too, where previous experimental studies failed
to detect the Bragg/Disordered phase transition.


title: Einstein in the crossroad of the sciences, arts and humanities

abstract:
  Western thinking underwent a turning point between 1885 and 1925. Einstein in
1905 symbolizes the emblematic hinge of this change of direction. To find an
equivalent phenomenon in the past we need to go back to the period from the XV
century to the XVII century. It was not a mere reform of codes but a new code.
In 1905 the perception of reality changed through the introduction of
relativism in three levels of the reference systems: the ego-other relation,
the world perceived by the senses, and the 'ideal' universe of the concepts. We
will try to identify how this change was expressed and developed in the cited
levels, both in the physic and nature based sciences, in the social sciences,
and in literature and fine arts. Today, 100 years after, the 1905's generation
still proposes us two options: to live sheltered by the dogma that reassures us
with its only and exclusive viewpoint claimed objective, or to dare to live
with the multiple, the transient, the relative. The first way led to the worst
regimes and intolerant ideas of the XX century, the second option throws us
into the uncertainty of the creative adventure, but also leads us to the
possibility of a fairer society in the XXI century.


title:
Ab initio statistical mechanics of surface adsorption and desorption: I.
  H$_2$O on MgO (001) at low coverage

abstract:
  We present a general computational scheme based on molecular dynamics (m.d.)
simulation for calculating the chemical potential of adsorbed molecules in
thermal equilibrium on the surface of a material. The scheme is based on the
calculation of the mean force in m.d. simulations in which the height of a
chosen molecule above the surface is constrained, and subsequent integration of
the mean force to obtain the potential of mean force and hence the chemical
potential. The scheme is valid at any coverage and temperature, so that in
principle it allows the calculation of the chemical potential as a function of
coverage and temperature. It avoids all statistical mechanical approximations,
except for the use of classical statistical mechanics for the nuclei, and
assumes nothing in advance about the adsorption sites. From the chemical
potential, the absolute desorption rate of the molecules can be computed,
provided the equilibration rate on the surface is faster than the desorption
rate. We apply the theory by {\em ab initio} m.d. simulation to the case of
H$_2$O on MgO (001) in the low-coverage limit, using the Perdew-Burke-Ernzerhof
(PBE) form of exchange-correlation. The calculations yield an {\em ab initio}
value of the Polanyi-Wigner frequency prefactor, which is more than two orders
of magnitude greater than the value of $10^{13}$ s$^{-1}$ often assumed in the
past. Provisional comparison with experiment suggests that the PBE adsorption
energy may be too low, but the extension of the calculations to higher
coverages is needed before firm conclusions can be drawn. The possibility of
including quantum nuclear effects by using path-integral simulations is noted.


title: Epistemic Analysis of Strategic Games with Arbitrary Strategy Sets

abstract:
  We provide here an epistemic analysis of arbitrary strategic games based on
the possibility correspondences. Such an analysis calls for the use of
transfinite iterations of the corresponding operators. Our approach is based on
Tarski's Fixpoint Theorem and applies both to the notions of rationalizability
and the iterated elimination of strictly dominated strategies.


title: Moving Vertices to Make Drawings Plane

abstract:
  A straight-line drawing $\delta$ of a planar graph $G$ need not be plane, but
can be made so by moving some of the vertices. Let shift$(G,\delta)$ denote the
minimum number of vertices that need to be moved to turn $\delta$ into a plane
drawing of $G$. We show that shift$(G,\delta)$ is NP-hard to compute and to
approximate, and we give explicit bounds on shift$(G,\delta)$ when $G$ is a
tree or a general planar graph. Our hardness results extend to
1BendPointSetEmbeddability, a well-known graph-drawing problem.


title:
A proof of Culter's theorem on the existence of periodic orbits in
  polygonal outer billiards

abstract:
  We discuss a recent result by C. Culter: every polygonal outer billiard has a
periodic trajectory.


title: On adapted coordinate systems

abstract:
  The notion of an adapted coordinate system, introduced by V.I.Arnol'd, plays
an important role in the study of asymptotic expansions of oscillatory
integrals. In two dimensions, A.N.Varchenko gave sufficient conditions for the
adaptness of a given coordinate system and proved the existence of an adapted
coordinate system for a class of analytic functions without multiple
components. Varchenko's proof is based on Hironaka's theorem on the resolution
of singularities.
  In this article, we present a new, elementary and concrete approach to these
results, which is based on the Puiseux series expansion of roots of the given
function. Our method applies to arbitrary real analytic functions, and even
extends to arbitrary smooth functions of finite type. Moreover, by avoiding
Hironaka's theorem, we can give necessary and sufficient conditions for the
adaptedness of a given coordinate system in the smooth, finite type setting.


title:
Observation of quantum-measurement backaction with an ultracold atomic
  gas

abstract:
  Current research on micro-mechanical resonators strives for quantum-limited
detection of the motion of macroscopic objects. Prerequisite to this goal is
the observation of measurement backaction consistent with quantum metrology
limits. However, thermal noise presently dominates measurements and precludes
ground-state preparation of the resonator. Here we establish the collective
motion of an ultracold atomic gas confined tightly within a Fabry-Perot optical
cavity as a system for investigating the quantum mechanics of macroscopic
bodies. The cavity-mode structure selects a single collective vibrational mode
that is measured by the cavity's optical properties, actuated by the cavity
optical field, and subject to backaction by the quantum force fluctuations of
this field. Experimentally, we quantify such fluctuations by measuring the
cavity-light-induced heating of the intracavity atomic ensemble. These
measurements represent the first observation of backaction on a macroscopic
mechanical resonator at the standard quantum limit.


title:
Sharp $L^p$-estimates for maximal operators associated to hypersurfaces
  in $\bR^3$ for $p>2.$

abstract:
  We study the boundedness problem for maximal operators $\M$ associated to
smooth hypersurfaces $S$ in 3-dimensional Euclidean space. For $p>2,$ we prove
that if no affine tangent plane to $S$ passes through the origin and $S$ is
analytic, then the associated maximal operator is bounded on $L^p(\RR^3)$ if
and only if $p>h(S),$ where $h(S)$ denotes the so-called height of the surface
$S.$ For non-analytic finite type $S$ we obtain the same statement with the
exception of the exponent $p=h(S).$ Our notion of height $h(S)$ is closely
related to A. N. Varchenko's notion of height $h(\phi)$ for functions $\phi$
such that $S$ can be locally represented as the graph of $\phi$ after a
rotation of coordinates.
  Several consequences of this result are discussed. In particular we verify a
conjecture by E.M. Stein and its generalization by A. Iosevich and E. Sawyer on
the connection between the decay rate of the Fourier transform of the surface
measure on $S$ and the $L^p$-boundedness of the associated maximal operator
$\M$, and a conjecture by Iosevich and Sawyer which relates the
$L^p$-boundedness of $\M$ to an integrability condition on $S$ for the distance
function to tangential hyperplanes, in dimension three.
  In particular, we also give ess. sharp uniform estimates for the Fourier
transform of the surface measure on $S,$ thus extending a result by V.N.
Karpushkin from the analytic to the smooth setting and implicitly verifying a
conjecture by V.I. Arnol'd in our context.


title: Does the fireball found in AuAu collisions at RHIC resemble plasma?

abstract:
  General properties of the hot and dense hadron matter (fireball) discovered
in AuAu collisions with pSNN = 130 and 200 GeV at RHIC are compared with these
for ideal electromagnetic plasma. None of them was found to be in contrary to
those of the plasma typical signs distinguishing its from other aggregate
states of the matter. The author notes that modern experimental data about the
fireball properties are limited to make their comprehensive comparison with
plasma signatures. The author also points out the directions needed to be
studied to answer question whether the hadron matter observed in the RHIC
experiments is a color analogue of the electromagnetic plasma or not.


title: Lagrangians Galore

abstract:
  Searching for a Lagrangian may seem either a trivial endeavour or an
impossible task. In this paper we show that the Jacobi last multiplier
associated with the Lie symmetries admitted by simple models of classical
mechanics produces (too?) many Lagrangians in a simple way. We exemplify the
method by such a classic as the simple harmonic oscillator, the harmonic
oscillator in disguise [H Goldstein, {\it Classical Mechanics}, 2nd edition
(Addison-Wesley, Reading, 1980)] and the damped harmonic oscillator. This is
the first paper in a series dedicated to this subject.

categories: nlin.SI math-ph math.MP physics.class-ph


title: A Family of $q$-Dyson Style Constant Term Identities

abstract:
  By generalizing Gessel-Xin's Laurent series method for proving the
Zeilberger-Bressoud $q$-Dyson Theorem, we establish a family of $q$-Dyson style
constant term identities. These identities give explicit formulas for certain
coefficients of the $q$-Dyson product, including three conjectures of Sills' as
special cases and generalizing Stembridge's first layer formulas for characters
of $SL(n,\mathbb{C})$.


title: Relativistic wave equation for one spin-1/2 and one spin-0 particle

abstract:
  A new approach to the two-body problem based on the extension of the
$SL(2,C)$ group to the $Sp(4,C)$ one is developed. The wave equation with the
Lorentz-scalar and Lorentz-vector potential interactions for the system of one
spin-1/2 and one spin-0 particle with unequal masses is constructed.


title: A natural Lie superalgebra bundle on rank three WSD manifolds

abstract:
  We determine the structure of the $*$-Lie superalgebra generated by a set of
carefully chosen natural operators of an orientable WSD manifold of rank three.
This Lie superalgebra is formed by global sections of a natural Lie
superalgebra bundle, and turns out to be a product of $\mathbf{sl}(4,\C)$ with
the full special linear superalgebras of some graded vector spaces isotypical
with respect to a natural action of $\mathbf{so}(3,\R)$. We provide an explicit
description of one of the real forms of this superalgebra, which is
geometrically natural being made of $\mathbf{so}(3,\R)$-invariant operators
which preserve the Poincar\'e (odd Hermitean) inner product on the bundle of
forms.


title: Ab initio melting curve of molybdenum by the phase coexistence method

abstract:
  We report ab initio calculations of the melting curve of molybdenum for the
pressure range 0-400 GPa. The calculations employ density functional theory
(DFT) with the Perdew-Burke-Ernzerhof exchange-correlation functional in the
projector augmented wave (PAW) implementation. We present tests showing that
these techniques accurately reproduce experimental data on low-temperature
b.c.c. Mo, and that PAW agrees closely with results from the full-potential
linearized augmented plane-wave implementation. The work attempts to overcome
the uncertainties inherent in earlier DFT calculations of the melting curve of
Mo, by using the ``reference coexistence'' technique to determine the melting
curve. In this technique, an empirical reference model (here, the embedded-atom
model) is accurately fitted to DFT molecular dynamics data on the liquid and
the high-temperature solid, the melting curve of the reference model is
determined by simulations of coexisting solid and liquid, and the ab initio
melting curve is obtained by applying free-energy corrections. Our calculated
melting curve agrees well with experiment at ambient pressure and is consistent
with shock data at high pressure, but does not agree with the high pressure
melting curve deduced from static compression experiments. Calculated results
for the radial distribution function show that the short-range atomic order of
the liquid is very similar to that of the high-T solid, with a slight decrease
of coordination number on passing from solid to liquid. The electronic
densities of states in the two phases show only small differences. The results
do not support a recent theory according to which very low dTm/dP values are
expected for b.c.c. transition metals because of electron redistribution
between s-p and d states.


title: Cycles in Nonlinear Macroeconomics

abstract:
  The monograph is concerned with some key problems of the theory of nonlinear
economic dynamics. The authors' concept consists in analyzing the problem of
structural instability of economic systems within the framework of the
synergetic paradigm. As examples, the classical models of macroeconomics are
considered. The authors present the results of the study of the phenomenon of
self-organization in open and nonequilibrium economic systems. The generation
of limit cycles, as well as of more complex periodic structures, is discussed;
the character of their stability is examined.


title:
Scattering of Topological Solitons on Barriers and Holes in Two \lambda
  \phi^4 Models

abstract:
  We present results of our studies of various scattering properties of
topological solitons on obstructions in the form of holes and barriers in 1+1
dimensions. Our results are based on two models involving a \phi^4 potential.
The obstructions are characterised by a potential parameter, \lambda which has
a non-zero value in a certain region of space and zero elsewhere. In the first
model the potential parameter is included in the potential and in the second
model the potential parameter is included in the metric. Our results are based
on numerical simulations and analytical considerations.


title:
Synergistic Gravity and the Role of Resonances in GRS-Inspired
  Braneworlds

abstract:
  We consider 5D braneworld models of quasi-localized gravity in which 4D
gravity is reproduced at intermediate scales while the extra dimension opens up
at both the very short and the very long distances, where the geometry is flat.
Our main interest is the interplay between the zero mode of these models,
whenever a normalizable zero mode exists, and the effects of zero energy
graviton resonant modes coming from the contributions of massive KK modes. We
first consider a compactified version of the GRS model and find that
quasi-localized gravity is characterized by a scale for which both the
resonance and the zero mode have significant contribution to 4D gravity. Above
this scale, gravity is primarily mediated by the zero mode, while the resonance
gives only minor corrections. Next, we consider an asymmetric version of the
standard non-compact GRS model, characterized by different cosmological
constants on each AdS side. We show that a resonance is present but the
asymmetry, through the form of the localizing potential, can weaken it,
resulting in a shorter lifetime and, thus, in a shorter distance scale for 4D
gravity. As a third model exhibiting quasi-localization, we consider a version
of the GRS model in which the central positive tension brane has been replaced
by a configuration of a scalar field propagating in the bulk.


title: Vacancy localization in the square dimer model

abstract:
  We study the classical dimer model on a square lattice with a single vacancy
by developing a graph-theoretic classification of the set of all configurations
which extends the spanning tree formulation of close-packed dimers. With this
formalism, we can address the question of the possible motion of the vacancy
induced by dimer slidings. We find a probability 57/4-10Sqrt[2] for the vacancy
to be strictly jammed in an infinite system. More generally, the size
distribution of the domain accessible to the vacancy is characterized by a
power law decay with exponent 9/8. On a finite system, the probability that a
vacancy in the bulk can reach the boundary falls off as a power law of the
system size with exponent 1/4. The resultant weak localization of vacancies
still allows for unbounded diffusion, characterized by a diffusion exponent
that we relate to that of diffusion on spanning trees. We also implement
numerical simulations of the model with both free and periodic boundary
conditions.


title: Discrete breathers in nonlinear network models of proteins

abstract:
  We introduce a topology-based nonlinear network model of protein dynamics
with the aim of investigating the interplay of spatial disorder and
nonlinearity. We show that spontaneous localization of energy occurs
generically and is a site-dependent process. Localized modes of nonlinear
origin form spontaneously in the stiffest parts of the structure and display
site-dependent activation energies. Our results provide a straightforward way
for understanding the recently discovered link between protein local stiffness
and enzymatic activity. They strongly suggest that nonlinear phenomena may play
an important role in enzyme function, allowing for energy storage during the
catalytic process.


title:
Melting curve and Hugoniot of molybdenum up to 400 GPa by ab initio
  simulations

abstract:
  We report ab initio calculations of the melting curve and Hugoniot of
molybdenum for the pressure range 0-400 GPa, using density functional theory
(DFT) in the projector augmented wave (PAW) implementation. We use the
``reference coexistence'' technique to overcome uncertainties inherent in
earlier DFT calculations of the melting curve of Mo. Our calculated melting
curve agrees well with experiment at ambient pressure and is consistent with
shock data at high pressure, but does not agree with the high pressure melting
curve from static compression experiments. Our calculated P(V) and T(P)
Hugoniot relations agree well with shock measurements. We use calculations of
phonon dispersion relations as a function of pressure to eliminate some
possible interpretations of the solid-solid phase transition observed in shock
experiments on Mo.


title: Probabilistic Anonymity and Admissible Schedulers

abstract:
  When studying safety properties of (formal) protocol models, it is customary
to view the scheduler as an adversary: an entity trying to falsify the safety
property. We show that in the context of security protocols, and in particular
of anonymizing protocols, this gives the adversary too much power; for
instance, the contents of encrypted messages and internal computations by the
parties should be considered invisible to the adversary.
  We restrict the class of schedulers to a class of admissible schedulers which
better model adversarial behaviour. These admissible schedulers base their
decision solely on the past behaviour of the system that is visible to the
adversary.
  Using this, we propose a definition of anonymity: for all admissible
schedulers the identity of the users and the observations of the adversary are
independent stochastic variables. We also develop a proof technique for typical
cases that can be used to proof anonymity: a system is anonymous if it is
possible to `exchange' the behaviour of two users without the adversary
`noticing'.


title: Confinement in the q-state Potts field theory

abstract:
  The q-state Potts field theory describes the universality class associated to
the spontaneous breaking of the permutation symmetry of q colors. In two
dimensions it is defined up to q=4 and exhibits duality and integrability away
from critical temperature in absence of magnetic field. We show how, when a
magnetic field is switched on, it provides the simplest model of confinement
allowing for both mesons and baryons. Deconfined quarks (kinks) exist in a
phase bounded by a first order transition on one side, and a second order
transition on the other. The evolution of the mass spectrum with temperature
and magnetic field is discussed.


title: Equivariant Lefschetz number of differential operators

abstract:
  Let $G$ be a compact Lie group acting on a compact complex manifold $M$. We
prove a trace density formula for the $G$-Lefschetz number of a differential
operator on $M$. We generalize Engeli and Felder's recent results to orbifolds.


title:
Simultaneous approximation of a real number by all conjugates of an
  algebraic number

abstract:
  Using a method of H. Davenport and W. M. Schmidt, we show that, for each
positive integer n, the ratio 2/n is the optimal exponent of simultaneous
approximation to real irrational numbers 1) by all conjugates of algebraic
numbers of degree n, and 2) by all but one conjugates of algebraic integers of
degree n+1.


title: Electronic, magnetic and optical properties of random Fe-Cr alloys

abstract:
  In this communication we have studied the electronic structure, magnetic and
optical properties of bcc \fecr alloys in the ferromagnetic phase. We have used
the augmented space recursion technique coupled with tight-binding linearized
muffin-tin orbital technique (TB-LMTO-ASR) as well as the coherent-potential
approximation based on the Korringa-Kohn-Rostocker method (KKR-CPA). Also the
plane wave projector augmented wave (PAW) method has been used with the
disorder simulated by the special quasi-random structure method f or
configuration averaging (SQS). This was to provide a comparison between the
different methods in common use for random alloys. Moreover, using the
self-consistent potential parameters from TB-LMTO-ASR ca lculations we obtained
the spin resolved optical conductivity using the generalized recursion
technique proposed by M\"uller and Vishwanathan.


title: A Chameleon Primer

abstract:
  We review some of the properties of chameleon theories. Chameleon fields are
gravitationally coupled to matter and evade gravitational tests thanks to two
fundamental properties. The first one is the density dependence of the
chameleon mass. In most cases, in a dense environment, chameleons are massive
enough to induce a short ranged fifth force. In other cases, non-linear effects
imply the existence of a thin shell effect shielding compact bodies from each
other and leading to an irrelevant fifth force. We also mention how a natural
extension of chameleon theories can play a role to solve the PVLAS versus CAST
discrepancy.


title: Ghost story. I. Wedge states in the oscillator formalism

abstract:
  This paper is primarily devoted to the ghost wedge states in string field
theory formulated with the oscillator formalism. Our aim is to prove, using
such formalism, that the wedge states can be expressed as
  |n> = exp[{2-n}/2 ({\cal L}_0+{\cal L}_0^\daggert)]|0>, separately in the
matter and ghost sector. This relation is crucial for instance in the proof of
Schnabl's solution. We start from the exponentials in the rhs and wish to prove
that they take precisely the form of wedge states. As a guideline we first
re-demonstrate this relation for the matter part. Then we turn to the ghosts.
On the way we face the problem of `diagonalizing' infinite rectangular
matrices. We manage to give a meaning to such an operation and to prove that
the eigenvalues we obtain satisfy the recursion relations of the wedge states.


title: Charge separation induced by P-odd bubbles in QCD matter

abstract:
  We examine the recent suggestion that P- and CP-odd effects in QCD matter can
induce electric charge asymmetry with respect to reaction plane in relativistic
heavy ion collisions. General arguments are given which confirm that the
angular momentum of QCD matter in the presence of non-zero topological charge
should induce an electric field aligned along the axis of the angular momentum.
A simple formula relating the magnitude of charge asymmetry to the angular
momentum and topological charge is derived. The expected asymmetry is amenable
to experimental observation at RHIC and LHC; we discuss the recent preliminary
STAR result in light of our findings.


title:
Parity nonconservation in dielectronic recombination of multiply charged
  ions

abstract:
  We discuss a parity nonconserving (PNC) asymmetry in the cross section of
dielectronic recombination of polarized electrons on multiply charged ions with
Z>40. This effect is strongly enhanced for close doubly-excited states of
opposite parity in the intermediate compound ion. Such states are known for
He-like ions. However, these levels have large energy and large radiative
widths which hampers observation of the PNC asymmetry. We argue that
accidentally degenerate states of the more complex ions may be more suitable
for the corresponding experiment.


title: Hiking the hypercube: producers and consumers

abstract:
  We study the dynamics of co-evolution of producers and customers described by
bit-strings representing individual traits. Individual ''size-like'' properties
are controlled by binary encounters which outcome depends upon a recognition
process. Depending upon the parameter set-up, mutual selection of producers and
customers results in different types of attractors, either an exclusive niches
regime or a competition regime.


title: Inhomogeneities in the Universe and the Fitting Problem

abstract:
  Observational cosmology provides us with a large number of high precision
data which are used to derive models trying to reproduce ``on the mean'' our
observable patch of the Universe. Most of these attempts are achieved in the
framework of a Friedmann-Lema\^itre cosmology where large scale homogeneity is
assumed. However, we know, from the observation of structures at increasing
scales, that these models are only approximations of a smoothed or averaged
inhomogeneous underlying patern. Anyhow, when modelling the Universe, the usual
method is to use continuous functions representing the kinematical scalars of
the velocity field, implicitly assuming that they represent volume averages of
the corresponding fine-scale inhomogeneous quantities, then put them into the
Einstein equations which are solved to give the model and its dependance upon a
number of parameters arbitrarily defined. In General Relativity, such a method
is very much involved since the equations which determine the metric tensor and
the quantities calculated from it are highly nonlinear. The question raised by
the method consisting of determining the parameters of an a priori assumed FLRW
model from observational data is the ``fitting problem'' brought to general
attention by Ellis and Stoeger in the 80's. This problem has recently
experienced a reniewed attention due to the amount of available data and the
increase of the minimum scale at which homogeneity can be assumed. We propose a
discussion of this issue in the light of the latest developments of
observational and theoretical cosmology.


title: H^+_3 WZNW model from Liouville field theory

abstract:
  There exists an intriguing relation between genus zero correlation functions
in the H^+_3 WZNW model and in Liouville field theory. We provide a path
integral derivation of the correspondence and then use our new approach to
generalize the relation to surfaces of arbitrary genus g. In particular we
determine the correlation functions of N primary fields in the WZNW model
explicitly through Liouville correlators with N+2g-2 additional insertions of
certain degenerate fields. The paper concludes with a list of interesting
further extensions and a few comments on the relation to the geometric
Langlands program.