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

Abstract

In this paper the temperature dependence of the $SU(3)$--gluodynamics bulk viscosity is studied within lattice simulations. To carry out this study we measure the correlation function of the trace of the energy-momentum tensor for a set of temperatures within the range $T/T_c\in (0.9,1.5)$. To extract the bulk viscosity from the correlation function we apply the Backus-Gilbert method and the Tikhonov regularization method. We show that the ratio $\zeta /s$ is small in the region $T/T_c⩾1.1-1.2$ and in the vicinity of the transition $T/T_c⩽1.1-1.2$ it quickly rises. Our results are in agreement with previous lattice studies and in a reasonable agreement with other phenomenological approaches. Obtained values of the bulk viscosity are significantly larger than perturbative results, what confirms that QGP is a strongly correlated system.

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