Viscous Coefficients of a Hot Pion Gas

The steps essentially involved in the evaluation of transport coefficients in linear response theory using Kubo formulas are to relate the defining retarded correlation function to the corresponding time-ordered one and to evaluate the latter in the conventional perturbation expansion. Here we evalu...

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Main Author: Sourav Sarkar
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Advances in High Energy Physics
Online Access:http://dx.doi.org/10.1155/2013/627137
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author Sourav Sarkar
author_facet Sourav Sarkar
author_sort Sourav Sarkar
collection DOAJ
description The steps essentially involved in the evaluation of transport coefficients in linear response theory using Kubo formulas are to relate the defining retarded correlation function to the corresponding 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 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 π π cross-section is used in which spectral modifications are introduced in the propagator of the exchanged ρ .
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institution Kabale University
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spelling doaj-art-341d254a064044e6a7bcda4a0a2584ea2025-02-03T05:51:03ZengWileyAdvances in High Energy Physics1687-73571687-73652013-01-01201310.1155/2013/627137627137Viscous Coefficients of a Hot Pion GasSourav Sarkar0Theoretical Physics Division, Variable Energy Cyclotron Centre, 1/AF, Bidhannagar, Kolkata 700064, IndiaThe steps essentially involved in the evaluation of transport coefficients in linear response theory using Kubo formulas are to relate the defining retarded correlation function to the corresponding 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 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 π π cross-section is used in which spectral modifications are introduced in the propagator of the exchanged ρ .http://dx.doi.org/10.1155/2013/627137
spellingShingle Sourav Sarkar
Viscous Coefficients of a Hot Pion Gas
Advances in High Energy Physics
title Viscous Coefficients of a Hot Pion Gas
title_full Viscous Coefficients of a Hot Pion Gas
title_fullStr Viscous Coefficients of a Hot Pion Gas
title_full_unstemmed Viscous Coefficients of a Hot Pion Gas
title_short Viscous Coefficients of a Hot Pion Gas
title_sort viscous coefficients of a hot pion gas
url http://dx.doi.org/10.1155/2013/627137
work_keys_str_mv AT souravsarkar viscouscoefficientsofahotpiongas