Effect of spectral modification of $\rho$ on shear viscosity of a pion gas

Abstract

We evaluate the shear viscosity of a pion gas in the relativistic kinetic theory approach. The in-medium propagator of the $\rho$ meson at finite temperature is used to evaluate the $\pi -\pi$ scattering amplitude in the medium. The real and imaginary parts of the self-energy calculated from one-loop diagrams are seen to have noticeable effects on the scattering cross-section. The consequences on temperature dependence of the shear viscosity evaluated in the Chapman-Enskog and relaxation time approximations are studied.

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• Medium effects on the thermal conductivity of a hot pion gas
• Medium effects on the relaxation of dissipative flows in a hot pion gas
• Thermal conductivity of hot pionic medium due to pion self-energy for $\pi \sigma$ and $\pi \rho$ loops
• Low mass enhanced probability of pion in hadronic matter due to its Landau cut contributions
• Relativistic second order dissipative hydrodynamics from effective fugacity quasi particle model
• Electrical conductivity and shear viscosity of a pion gas in a thermo-magnetic medium