Collective field approach to gauged principal chiral field at large N

TL;DR

This paper develops a collective field framework for a lattice gauge theory of principal chiral fields at large N, analyzing its phase structure in a strong coupling, finite temperature regime.

Contribution

It introduces a collective field approach to analyze the phase structure of a gauged principal chiral model at large N, a novel method for this class of theories.

Findings

Derived complete equations for collective field variables.

Identified phase transitions in the model.

Provided insights into the strong coupling limit at finite temperature.

Abstract

The lattice model of principal chiral field interacting with the gauge fields, which have no kinetic term, is considered. This model can be regarded as a strong coupling limit of lattice gauge theory at finite temperature. The complete set of equations for collective field variables is derived in the large N limit and the phase structure of the model is studied.