Yang-Mills theory in (2+1) dimensions: a short review

TL;DR

This review discusses the analysis of (2+1)-dimensional Yang-Mills theory using gauge-invariant matrix variables, covering vacuum structure, string tension, gluon mass, and extensions to related theories.

Contribution

It provides a concise overview of gauge-invariant methods applied to (2+1)D Yang-Mills theory and explores their implications for related models and phenomena.

Findings

Vacuum wavefunction characterized

String tension estimated

Gluon propagator mass discussed

Abstract

The analysis of (2+1)-dimensional Yang-Mills ($YM_{2+1})$ theory via the use of gauge-invariant matrix variables is reviewed. The vacuum wavefunction, string tension, the propagator mass for gluons, its relation to the magnetic mass for $YM_{3+1}$ at nonzero temperature and the extension of our analysis to the Yang-Mills-Chern-Simons theory are discussed.