Viscous coefficients and thermal conductivity of a $\pi K N$ gas mixture in the medium

The temperature and density dependence of the relaxation times, thermal conductivity, shear viscosity and bulk viscosity for a hot and dense gas consisting of pions, kaons and nucleons have been evaluated in the kinetic theory approach. The in-medium cross-sections for $$\pi \pi $$, $$\pi K$$ and $$\pi N$$ scatterings were obtained by using complete propagators for the exchanged $$\rho $$, $$\sigma $$, $$K^*$$ and $$\Delta $$ excitations derived using thermal field theoretic techniques. Notable deviations can be observed in the temperature dependence of $$\eta $$, $$\zeta $$ and $$\lambda $$ when compared with corresponding calculations using vacuum cross-sections usually employed in the literature. The value of the specific shear viscosity $$\eta /s$$ is found to be in agreement with available estimates.