A novel computation of the thermodynamics of the SU(3) Yang-Mills theory

TL;DR

This paper introduces a precise method for calculating the thermodynamic properties of SU(3) Yang-Mills theory using shifted boundary conditions, enabling accurate entropy density measurements across different lattice spacings.

Contribution

It develops a novel approach employing shifted boundary conditions to compute the Equation of State of SU(3) Yang-Mills theory with high accuracy.

Findings

Small discretization effects observed in continuum extrapolation

Entropy density measured accurately at various temperatures and lattice spacings

Statistical errors around 0.5% in the results

Abstract

We present an accurate computation of the Equation of State of the SU(3) Yang-Mills theory using shifted boundary conditions in the temporal direction. In this framework, the entropy density s can be obtained in a simple way from the expectation value of the space-time components T0k of the energy-momentum tensor. At each given value of the temperature, s is measured in an independent way at several values of the lattice spacing. The extrapolation to the continuum limit shows small discretization effects with respect to the statistical errors of approximatively 0.5%.