Stabilizing perturbative Yang-Mills thermodynamics with Gribov quantization

TL;DR

This paper uses Gribov quantization to improve the perturbative calculation of Yang-Mills thermodynamics, effectively incorporating magnetic scale effects and stabilizing the free energy expansion across a range of temperatures.

Contribution

It introduces a nonperturbative resummation method via Gribov quantization to enhance the accuracy of thermodynamic predictions in Yang-Mills theory.

Findings

Magnetic scale is naturally included in the framework.

Perturbative expansion of free energy is stabilized.

Results are robust above twice the critical temperature.

Abstract

We evaluate the thermodynamic quantities of Yang-Mills theory using the Gribov quantization, which deals with nonperturbative resummation. The magnetic scale is automatically incorporated into the framework and we find it efficient to stabilize the perturbative expansion of the free energy. In the temperature range $T=T_c \sim 2\,T_c$ the major uncertainty in our results comes from the nonperturbative running coupling that is adopted from the lattice simulation, while the convergence above $2\,T_c$ is impressively robust. We also present the corresponding interaction measure (i.e., trace anomaly) up to close to $T_c$.