Abstract
This report is devoted to the study of temperature dependence of shear viscosity in SU (3)-gluodynamics. To calculate shear viscosity we measured the correlation function of the energy-momentum tensor T12 T12 for a set of temperatures in the region T/Tc ϵ (0.9, 1.5). The measurements were carried out using multilevel algorithm which considerably improves the accuracy of the data. For determination of the shear viscosity two methods were used: physically motivated ansatz and non-parametrical Backus-Gilbert method. Both methods give consistent results. The calculation allows to determine temperature dependence of the ratio of shear viscosity to the entropy density η/s .
Highlights
One of the main purposes of heavy ion collision experiments at RHIC and LHC is the experimental study of Quark-gluon plasma (QGP)
It turns out that the ratio of shear viscosity η to entropy density s lies in range η/s = (1 − 3) × 1/4π[7], which is close to N = 4 Super Yang Mills (SYM) theory prediction at strong coupling η/s = 1/4π [8] and differs from a weak coupling result η/s ∼ c/(g4 log(1/g)) ∼ 1 [5, 6]
It would be interesting to study the value of the shear viscosity within such nonperturbative approach as lattice simulations of QCD
Summary
One of the main purposes of heavy ion collision experiments at RHIC and LHC is the experimental study of Quark-gluon plasma (QGP). It was shown that experimental results can be described within hydrodynamical approach[1, 2]. In hydrodynamics transport coefficients such as shear viscosity, bulk viscosity, conductivity, etc. These transport coefficients can be determined from the experiment or calculated theoretically. It turns out that the ratio of shear viscosity η to entropy density s lies in range η/s = (1 − 3) × 1/4π[7], which is close to N = 4 Super Yang Mills (SYM) theory prediction at strong coupling η/s = 1/4π [8] and differs from a weak coupling result η/s ∼ c/(g4 log(1/g)) ∼ 1 [5, 6]. It would be interesting to study the value of the shear viscosity within such nonperturbative approach as lattice simulations of QCD. In this paper we are going to study temperature dependence of shear viscosity of SU(3)–gluodynamics in the vicinity of confinement/deconfinement phase transition T/Tc ∈ [0.9, 1.5]
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