Temperature dependence of shear viscosity of SU(3)--gluodynamics within lattice simulation

2017/01/12 by Nikita Astrakhantsev, Viktor Braguta, Andrey Kotov · 1 citation
Physics and Astronomy · #hep-lat #hep-ph #hep-th #nucl-th

paper · pdf · doi:10.1007/jhep04(2017)101

Typos in references are corrected and the acknowledgements are modified

arxiv created 2017/01/12 · arxiv updated 2017/05/24

Abstract

In this paper we study the shear viscosity temperature dependence of SU(3)--gluodynamics within lattice simulation. To do so, we measure the correlation functions of energy-momentum tensor in the range of temperatures T/T_c∈ [0.9, 1.5]. To extract the values of shear viscosity we used two approaches. The first one is to fit the lattice data with some physically motivated ansatz for the spectral function with unknown parameters and then determine shear viscosity. The second approach is to apply the Backus-Gilbert method which allows to extract shear viscosity from the lattice data nonparametrically. The results obtained within both approaches agree with each other. Our results allow us to conclude that within the temperature range T/T_c ∈ [0.9, 1.5] SU(3)--gluodynamics reveals the properties of a strongly interacting system, which cannot be described perturbatively, and has the ratio η/s close to the value 1/4π in N = 4 Supersymmetric Yang-Mills theory.

Cited by

• Transport coefficients of strongly interacting quark-gluon plasma including elastic and inelastic scattering within the dynamical quasiparticle model