High statistics lattice study of stress tensor correlators in pure $SU(3)$ gauge theory

TL;DR

This study uses high-statistics lattice simulations to compute stress tensor correlators in pure SU(3) gauge theory, providing insights into the shear viscosity of the gluon plasma at finite temperature.

Contribution

It presents the first high-precision lattice calculation of stress tensor correlators and estimates the shear viscosity to entropy ratio in pure SU(3) gauge theory.

Findings

Shear viscosity to entropy ratio at 1.5T_c is 0.17(2).

Continuum extrapolation performed with multiple lattice spacings.

Correlators computed at zero and finite momenta.

Abstract

We compute the Euclidean correlators of the stress tensor in pure $SU(3)$ Yang-Mills theory at finite temperature at zero and finite spatial momenta with lattice simulations. We perform continuum extrapolations using $N_\tau=10,12,16,20$ lattices with renormalized anisotropy 2. We use these correlators to estimate the shear viscosity of the gluon plasma in the deconfined phase. For $T=1.5T_c$ we obtain $\eta/s=0.17(2)$.