Monte Carlo Simulation of The Adjoint Coulomb Gas

TL;DR

This paper presents Monte Carlo simulation results for a unitary matrix quantum mechanics model of 2D Yang-Mills theory with adjoint quarks, characterizing the deconfining transition as first-order through finite-size scaling analysis.

Contribution

It provides the first detailed Monte Carlo analysis of the deconfining transition in the adjoint Coulomb gas, confirming its first-order nature and consistency with large-N results.

Findings

Deconfining transition is first-order.

Polyakov Loop Susceptibility peaks at transition.

Results align with large-N studies.

Abstract

Monte Carlo simulation results for unitary matrix quantum mechanics, describing two-dimensional Yang-Mills theory coupled to a finite density of non-dynamical quarks (adjoint Coulomb gas), are presented. We characterize the deconfining transition in this model, by measuring the Polyakov Loop Susceptibility and employing finite-size scaling analysis. We provide evidence that the phase transition is first-order. Our results are consistent with the outcome of earlier large-$N$ studies of the model.