A Gauge Theory of Wilson Lines as a Dimensionally Reduced Model of QCD_3

TL;DR

This paper introduces a two-dimensional SU(3) gauge model with Z(3) symmetry as a reduced representation of high-temperature QCD_3, revealing a rich phase structure including a new Z(3)-breaking phase through numerical and perturbative methods.

Contribution

It presents a novel gauge model with explicit Z(3) symmetry for high-temperature QCD_3, exploring its phase diagram and confirming results with numerical simulations and perturbative calculations.

Findings

Identification of a new Z(3)-breaking phase.

Numerical confirmation of the screening mass matching QCD_3.

Observation of the confinement-deconfinement transition.

Abstract

We analyze a two dimensional SU(3) gauge model of Wilson lines as a dimensionally reduced model of high temperature QCD_3. In contrast to perturbative dimensional reduction it has an explicit global Z(3) symmetry in the action. The phase diagram of the model is studied in the space of two free parameters used to describe the self interaction of the Wilson lines. In addition to the confinement-deconfinement transition, the model also exhibits a new Z(3)-breaking phase. These findings are obtained by numerical simulations, and supported by a perturbative calculation to one loop. A screening mass from Polyakov loop correlations is calculated numerically. It matches the known QCD_3 mass in a domain of parameters belonging to the normal deconfined phase.