Viscous coefficients of a hot pion gas

Abstract

The steps essentially involved in the evaluation of transport coefficients in linear response theory using Kubo formulas are to relate the defining {\em retarded} correlation function to the corresponding {\em time-ordered} one and to evaluate the latter in the conventional perturbation expansion. Here we evaluate the viscosities of a pion gas carrying out both the steps in the {\em real time} formulation. We also obtain the viscous coefficients by solving the relativistic transport equation in the Chapman-Enskog approximation to leading order. An in-medium $\pi \pi$ cross-section in used in which spectral modifications are introduced in the propagator of the exchanged $\rho$.

Contribution to Special Issue of Advances in High-Energy Physics on "Physics of Quark Gluon Plasma: An Update and Status Report"

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Cited by in corpus (9)

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• Shear viscosity due to the Landau damping from quark-pion interaction
• Shear viscosity of pion gas due to $\rho \pi \pi$ and $\sigma \pi \pi$ interactions
• Medium effects on the thermal conductivity of a hot pion gas
• Shear viscosity of pionic and nucleonic components from their different possible mesonic and baryonic thermal fluctuations
• Estimating transport coefficients of interacting pion gas with K-matrix cross sections
• On the contribution of plasminos to the shear viscosity of a hot and dense Yukawa-Fermi gas
• Transport Coefficients of relativistic matter: A detailed formalism with a gross knowledge of their magnitude
• In-medium effect on the thermodynamics and transport coefficients in van der Waals hadron resonance gas