Correlations of Energy-Momentum Tensor via Gradient Flow in SU(3) Yang-Mills Theory at Finite Temperature

TL;DR

This paper investigates the use of the Yang-Mills gradient flow to compute two-point correlators of the energy-momentum tensor in SU(3) gauge theory at finite temperature, aiming to facilitate first-principles calculations of transport coefficients.

Contribution

It demonstrates the feasibility of using gradient flow to extract energy-momentum tensor correlators and transport coefficients from lattice gauge theory.

Findings

Entropy density from two-point correlators matches one-point function results.

Specific heat estimates agree with previous calculations.

First step toward first-principles transport coefficient simulations.

Abstract

Euclidean two-point correlators of the energy-momentum tensor (EMT) in SU(3) gauge theory on the lattice are studied on the basis of the Yang-Mills gradient flow. The entropy density and the specific heat obtained from the two-point correlators are shown to be in good agreement with those from the one-point functions of EMT. These results constitute a first step toward the first principle simulations of the transport coefficients with the gradient flow.