Study of shear viscosity of SU (2)-gluodynamics within lattice simulation

TL;DR

This study uses lattice simulations to analyze the shear viscosity of SU(2)-gluodynamics, revealing how spectral functions interpolate between hydrodynamic and high-frequency regimes, and estimating the viscosity-to-entropy ratio.

Contribution

First lattice simulation study of shear viscosity in SU(2)-gluodynamics using spectral functions and multilevel algorithms.

Findings

Estimated shear viscosity to entropy density ratio {}/s = 0.134 b1 0.057.

Spectral functions interpolate between hydrodynamics and asymptotic freedom.

Lattice data successfully describe the correlation functions across regimes.

Abstract

This paper is devoted to the study of two-point correlation function of the energy-momentum tensor T_{12}T_{12} for SU(2)-gluodynamics within lattice simulation of QCD. Using multilevel algorithm we carried out the measurement of the correlation function at the temperature T/T_c = 1.2. It is shown that lattice data can be described by spectral functions which interpolate between hydrodynamics at low frequencies and asymptotic freedom at high frequencies. The results of the study of spectral functions allowed us to estimate the ratio of shear viscosity to the entropy density {\eta}/s = 0.134 +- 0.057.