using eq.(1.1) occurs while the conventional phase coherence remains short-ranged because of a disorder-induced partial destruction \[20,21\] of positional long-ranged order. The above second statement may be subtle if the BrG phase \[11-13\] will occur just below the first order freezing of the vortex liquid. In $\S 3$, the phase diagram in the case ${\bf B} \parallel $ layers of real systems with point disorder is discussed by applying \[26,27\] the treatment sketched in $\S 2$ to this case and is briefly compared with existing data \[28,29\]. In $\S 4$, a relevance of results in $\S 2$ to BSCCO in low fields perpendicular to the layers is discussed together with an issue of Hall conductivity near glass transitions.

First, the model (1.2) will be rewritten within the subspace of the lowest Landau level (LLL) of the $\psi$-fluctuation by invoking a high field approximation valid far from a critical region of the normal-Meissner transition at $T_{c0}$. Further, the 2D case will be considered \[22\] for a while for our convenience of description. Using a Laudau-gauge and expressing $\psi$ as $\psi({\bf r})=\sum_p \phi_p
u_p({\bf r})$ in terms of the LLL eigenfunction $u_p$, the model ${\cal
H} \equiv {\cal H}_{\rm LD} + {\cal 