momentum dependencies on the remainder of the matter system is very weak, since all but the $\sigma$-$\pi$ channel are very weak. In the latter, on the other hand, we have implicitly taken momentum dependencies into account via dynamical hadronisation.

Furthermore we want to stress that the dynamical hadronisation procedure of introducing effective mesonic degrees of freedom introduces no model parameters in the theory. Therefore, the infrared physics in terms of quark and mesons are independent from the ultraviolet starting point and initial values. This is demonstrated explicitly for the Yukawa interaction between quarks and mesons in Fig. \[fig:yukawaconvergence\], where different initial scales and initial values for the Yukawa interaction have been chosen, but where all trajectories converge towards the same trajectory in the IR.

Mechanism of chiral symmetry breaking {#sec:chiralsymmbr}
-------------------------------------

As outlined in the introduction a proper understanding of the mechanisms of confinement and chiral symmetry breaking is a crucial step towards a quantitatively reliable approach to the phase diagram of QCD at finite chemical potential. Here we comment on the mechanism of chiral symmetry breaking from the point of view of the matter system.

In [@Gies:2001nw; @Gies:2002hq; @Gies:2003dp; @Gies:2005as; @Braun:2005uj; @Braun:2006jd; @Braun:2011pp] a simple picture for chiral symmetry 