The Kazakov-Migdal Model as a High Temperature Lattice Gauge Theory

TL;DR

This paper demonstrates that the Kazakov-Migdal model effectively represents the high temperature limit of lattice gauge theories, linking matter fields to Polyakov loops and spatial gauge variables to gauge fields.

Contribution

It establishes a novel interpretation of the Kazakov-Migdal model as a high temperature limit of lattice gauge theories in one higher dimension.

Findings

K-M model describes high temperature limit of lattice gauge theories.

Matter fields correspond to Polyakov loops.

Spatial gauge variables become gauge fields in the K-M model.

Abstract

We show that the Kazakov-Migdal (K-M) induced gauge model in $d$ dimensions describes the high temperature limit of ordinary lattice gauge theories in $d+1$ dimensions. The matter fields are related to the Polyakov loops, while the spatial gauge variables become the gauge fields of the K-M model. This interpretation of the K-M model is in agreement with some recent results in high temperature lattice QCD.