Infrared Critical Exponents in Finite-Temperature Coulomb Gauge QCD

TL;DR

This paper analyzes the infrared behavior of Coulomb gauge Yang-Mills theory at high temperatures, deriving critical exponents that suggest confinement properties through Dyson-Schwinger equations.

Contribution

It provides the first calculation of infrared critical exponents in finite-temperature Coulomb gauge QCD using Dyson-Schwinger equations in a simplified high-temperature limit.

Findings

Infrared exponents indicate confining potential behavior.

Results are consistent with a linearly rising color-Coulomb potential.

Mathematically well-defined overconfining solutions obtained.

Abstract

We investigate the infrared critical exponents of Coulomb gauge Yang-Mills theory in the limit of very high temperature. This allows us to focus on one scale (the spatial momentum) since all but the lowest Matsubara frequency decouple from the deep infrared. From the first-order Dyson-Schwinger equations in a bare-vertex truncation we obtain infrared exponents which correspond to confining or overconfining (yet mathematically well-defined) solutions. For three spatial dimensions the exponents are close to what is expected for a linearly rising color-Coulomb potential.