The Polyakov line, the Nishimori line and polymer networks standing a smectic liquid crystal

Abstract

We once more specify an universality of a phase transition from smectic-A to nematic phase in the crosslinked polymer network with a smectic liquid crystal, basing on the X-ray and $^1H$-NMR spectroscopy experiments. Comparing the superconducting 3D XY gauge theory and typical spin-glass models for such systems, it is possible to clarify a type of a phase transition, which might be the reason of percolation.