Transport coefficients for the hot quark-gluon plasma at finite chemical potential μB

We calculate transport coefficients of the quark-gluon plasma (QGP) within the dynamical quasiparticle model (DQPM) by explicitly computing the parton interaction rates as a function of temperature T and baryon chemical potential mu(B) on the basis of the DQPM couplings and partonic propagators. The latter are extracted from lattice QCD by matching the equation of state, entropy density and energy density at mu(B) = 0. For baryon chemical potentials 0 <= mu(B) <= 500 MeV we employ a scaling ansatz for the effective coupling which was shown before to lead to thermodynamic consistent results in this range. We compute the ratio of the shear and bulk viscosities to the entropy density, i.e., eta/s and zeta/s, the electric conductivity sigma(0)/T, as well as the baryon diffusion coefficient kappa(B) and compare to related approaches from the literature. We find that the ratios eta/s and zeta/s as well as sigma(0)/T are in accord with the results from lattice QCD at mu(B) = 0 and only weakly depend on the ratio T/T-c(mu(B)) where T-c(mu(B)) denotes the critical temperature at finite baryon chemical potential.