Calculations of shear, bulk viscosities and electrical conductivity in the Polyakov-quark-meson model

We have calculated different transport coefficients such as shear, bulk viscosities and electrical conductivity of quark and hadronic matter within the framework of a 2 flavor Polyakov-quark-meson model. For constant thermal widths of quarks and mesons, the temperature dependence of different transport coefficients reveals the thermodynamical phase space structure and their qualitative behavior are quite well in agreement with earlier works, based on other dynamical models. Besides the phase-space structure of quarks and mesons, their thermal width also have explicit temperature dependence. This dependence has been obtained here from the imaginary part of their respective self-energies at finite temperature. Due to the threshold conditions of their self energies, only some limited temperature regions of quark and hadronic phase are relevant for our numerical estimation of transport coefficients, which are grossly in agreement with some of the earlier results. An interesting outcome of the present analysis is that the quark relaxation time due to quark-meson loops can develop perfect fluid nature within a specific temperature range.