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

Borsányi, Sz. (University of Wuppertal, Department of Physics, Wuppertal D-42097, Germany) ; Fodor, Z. (University of Wuppertal, Department of Physics, Wuppertal D-42097, Germany) (Jülich Supercomputing Centre, Jülich D-52425, Germany) (Eötvös University, Budapest 1117, Hungary) ; Giordano, M. (Eötvös University, Budapest 1117, Hungary) ; Katz, S. D. (Eötvös University, Budapest 1117, Hungary) ; Pásztor, A. (University of Wuppertal, Department of Physics, Wuppertal D-42097, Germany) ; Ratti, C. (Department of Physics, University of Houston, Houston, Texas 77204, USA) ; Schäfer, A. (University of Regensburg, Regensburg D-93053, Germany) ; Szabó, K. K. (University of Wuppertal, Department of Physics, Wuppertal D-42097, Germany) (Jülich Supercomputing Centre, Jülich D-52425, Germany) ; Tóth, B. C. (University of Wuppertal, Department of Physics, Wuppertal D-42097, Germany)

27 July 2018

Abstract: We compute the Euclidean correlators of the stress tensor in pure $SU\left(3\right)$ 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 $T=1.5{T}_{c}$, we estimate $\eta /s=0.17\left(2\right)$ using an ansatz motivated by hydrodynamics.

Published in: Physical Review D 98 (2018)