LAYER PHASE ON NONISOTROPIC SU(2) LATTICE GAUGE-MODEL AT FINITE-TEMPERATURE

The non-isotropic Abelian U(1) lattice gauge model at finite temperature is extended to the system with a non-isotropic non-Abelian SU(2) gauge symmetry. Based on the variational-cumulant expansion (VCE) to the fourth order, we find that the layer phase proposed by Fu and Nielsen also exists in this system in the cases D = 5, d = 4 and D = 4, d = 3, and the lowest dimension of the layer phase at finite temperature is lower than at zero temperature. Combined with the investigations for the non-isotropic U(1) lattice gauge system, we consider that the layer phases may exist in various cases for these two symmetrical systems and even for other Abelian and non-Abelian lattice gauge systems when the temperature approaches infinity (T --> infinity). This implies that: particles studied by physicists obtain sufficient energy to pass through the 'wall' between two layers, which is thought of as a `confined' direction at zero temperature, and all communications among layers is easier. Thus, we may further suppose that the layer phase is dissolved in the early universe, which is believed to be a very hot system.