Variational approach to Yang-Mills theory at finite temperatures
Hugo Reinhardt, Davide R. Campagnari, Adam P. Szczepaniak
TL;DR
This paper investigates the finite-temperature behavior of gluons in QCD using a variational approach, deriving Dyson-Schwinger equations and identifying a sharp phase transition at a critical temperature.
Contribution
It introduces a variational method to study the gluon ensemble at finite temperature and solves Dyson-Schwinger equations to reveal a phase transition in infrared gluon energy.
Findings
Identifies a sharp transition in gluon energy at a critical temperature.
Derives Dyson-Schwinger equations for gluons at finite temperature.
Uses a variational approximation to analyze QCD in Coulomb gauge.
Abstract
We study the finite-temperature phase of a gluon ensemble in a variational approximation to QCD in the Coulomb gauge. We derive and numerically solve the underlying Dyson-Schwinger equations up to one-loop order. Assuming the subcritical solution at T=0, we find a sharp transition in the infrared value of the gluon energy at a critical temperature.
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