Non-perturbative finite-temperature Yang-Mills theory

TL;DR

This paper provides non-perturbative finite-temperature correlation functions in Yang-Mills theory using the functional renormalisation group, comparing results with lattice simulations and perturbation theory.

Contribution

First non-perturbative calculation of gluon and ghost propagators and vertices at finite temperature in Landau gauge using the functional renormalisation group.

Findings

Gluon propagators show temperature-dependent behavior consistent with lattice data.

Debye mass obtained aligns with hard thermal loop perturbation theory.

Provides comprehensive finite-temperature correlation functions for Yang-Mills theory.

Abstract

We present non-perturbative correlation functions in Landau-gauge Yang-Mills theory at finite temperature. The results are obtained from the functional renormalisation group within a self-consistent approximation scheme. In particular, we compute the magnetic and electric components of the gluon propagator, and the three- and four-gluon vertices. We also show the ghost propagator and the ghost-gluon vertex at finite temperature. Our results for the propagators are confronted with lattice simulations and our Debye mass is compared to hard thermal loop perturbation theory.