Abstract
A regular procedure (based on the Riemann — Epstein zeta function) is proposed for calculating the effective potential of the Gross — Neve model in the case of a two-dimensional lattice, with various boundary conditions modeling the effects of finite volume and temperature. The effective potential and phase structures of the model are constructed for various boundary conditions. In the two-dimensional case, in contrast to the three-dimensional case, the phase pattern does not depend on the coupling constants.
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