On the deconfining limit in (2+1)-dimensional Yang-Mills theory

TL;DR

This paper investigates the deconfining limit in (2+1)-dimensional Yang-Mills theory using a Hamiltonian approach, confirming known results for gluon mass and comparing with numerical data.

Contribution

It applies the Hamiltonian framework to analyze the deconfining limit in (2+1)D Yang-Mills theory, connecting the limit to the $S^1$ radius and validating with existing data.

Findings

Deconfining limit corresponds to one $S^1$ radius going to infinity.

The limit matches the known gluon propagator mass.

Results agree with numerical data.

Abstract

We consider (2+1)-dimensional Yang-Mills theory on $S^1 \times S^1 \times {\bf R}$ in the framework of a Hamiltonian approach developed by Karabali, Kim and Nair. The deconfining limit in the theory can be discussed in terms of one of the $S^1$ radii of the torus ($S^1 \times S^1$), while the other radius goes to infinity. We find that the limit agrees with the previously known result for a dynamical propagator mass of a gluon. We also make comparisons with numerical data.