A study of shear viscosity coefficient of quark matter in Polyakov quark meson model for three flavors

TL;DR

This paper calculates the shear viscosity of hot, dense quark matter using the Polyakov quark meson model, incorporating finite chemical potential effects and comparing thermodynamic properties with lattice QCD results.

Contribution

It introduces a method to estimate shear viscosity in the PQM model at finite chemical potential, including relaxation times and mean free paths for different quark flavors.

Findings

Shear viscosity coefficients are computed for various conditions.

Thermodynamic properties align well with lattice QCD data.

Finite chemical potential effects are incorporated into viscosity calculations.

Abstract

We have computed shear viscosity coefficient for hot and dense QCD matter within Polyakov loop extended quark meson(PQM) model for three flavors. Viscosity coefficient is estimated using Boltzmann equation within the relaxation time approximation. Relaxation times for quarks are calculated from elastic scattering of quarks and antiquarks via gluon exchange. Also the mean free paths of strange and light quarks are estimated for this cases. The calculations are performed at finite chemical potential. Thermodynamic properties like energy, pressure, entropy densities are also computed and compared with lattice QCD data.