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

TL;DR

This paper establishes a connection between a Z(3) gauge theory on flat lattices and a spin-1 BEG model, identifying a critical line of second-order phase transitions.

Contribution

It constructs a Z(3) gauge model with double plaquette action and reduces it to a spin-1 BEG model, revealing critical behavior.

Findings

Identified an Ising-type critical line of second-order phase transition.

Constructed a Z(3) gauge model on flat lattices.

Reduced the gauge model to 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.