Abstract

We present calculations for the shear viscosity of the hot and dense quark-gluon plasma (QGP) using the partonic scattering cross sections as a function of temperature TT and baryon chemical potential μBμ_B from the dynamical quasiparticle model (DQPM) that is matched to reproduce the equation of state of the partonic system above the deconfinement temperature TcT_c from lattice QCD. To this aim we calculate the collisional widths for the partonic degrees of freedom at finite TT and μBμ_B in the time-like sector and conclude that the quasiparticle limit holds sufficiently well. Furthermore, the ratio of shear viscosity ηη over entropy density ss, i.e. η/sη/s, is evaluated using these collisional widths and are compared to lQCD calculations for μBμ_B = 0 as well. We find that the ratio η/sη/s is in agreement with the results of calculations within the original DQPM on the basis of the Kubo formalism. Furthermore, there is only a very modest change of η/sη/s with the baryon chemical μBμ_B as a function of the scaled temperature T/Tc(μB)T/T_c(μ_B).

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