Interrelation of a Z(3) Gauge Theory on the Flat Lattices and a Spin-1 BEG Model

Abstract

The Z(3) gauge model with double plaquette representation of the action on the flat triangular and square lattices is constructed. It is reduced to the spin-1 Blume-Emery-Griffiths (BEG) model. An Ising-type critical line of a second-order phase transition is found.

Comments: 7 pages (LaTeX) and one postscript figure, JINR preprint E2-94-306