# 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.

## Key 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 $\eta/s=0.17(2)$.