A Beyond Mean Field Approach to Yang-Mills Thermodynamics

TL;DR

This paper introduces a beyond mean field method for calculating Yang-Mills thermodynamics, incorporating n-body gluon effects and a background Polyakov field, resulting in more accurate predictions aligned with lattice data.

Contribution

It develops a novel beyond mean field approach that improves the theoretical modeling of Yang-Mills thermodynamics compared to previous mean field studies.

Findings

Results align well with lattice data across temperatures

Physically consistent thermodynamic predictions

Inclusion of n-body gluon contributions enhances accuracy

Abstract

We propose a beyond mean field approach to evaluate Yang-Mills thermodynamics from the partition function with n-body gluon contribution, in the presence of a uniform background Polyakov field. Using a path integral based formalism, we obtain, unlike the previous mean field studies within this model framework, physically consistent results with good agreement to the lattice data throughout the temperature range.