Shear Viscosity of a Hot Pion Gas

Abstract

The shear viscosity of an interacting pion gas is studied using the Kubo formalism as a microscopic description of thermal systems close to global equilibrium. We implement the skeleton expansion in order to approximate the retarded correlator of the viscous part of the energy-momentum tensor. After exploring this in $g{\varphi }^4$ theory we show how the skeleton expansion can be consistently applied to pions in chiral perturbation theory. The shear viscosity $\eta$ is determined by the spectral width, or equivalently, the mean free path of pions in the heat bath. We derive a new analytical result for the mean free path which is well-conditioned for numerical evaluation and discuss the temperature and pion-mass dependence of the mean free path and the shear viscosity. The ratio $\eta /s$ of the interacting pion gas exceeds the lower bound $1/4\pi$ from AdS/CFT correspondence.

arXiv comment12 pages, 7 figures. Revision includes additional Appendix B. Matches published version

References in corpus (34)

• The Large N Limit of Superconformal Field Theories and Supergravity
• Experimental and Theoretical Challenges in the Search for the Quark Gluon Plasma: The STAR Collaboration's Critical Assessment of the Evidence from RHIC Collisions
• Formation of dense partonic matter in relativistic nucleus-nucleus collisions at RHIC: Experimental evaluation by the PHENIX collaboration
• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• Quark Gluon Plasma an Color Glass Condensate at RHIC? The perspective from the BRAHMS experiment
• The PHOBOS Perspective on Discoveries at RHIC
• Viscosity Information from Relativistic Nuclear Collisions: How Perfect is the Fluid Observed at RHIC?
• Elliptic flow of charged particles in Pb-Pb collisions at 2.76 TeV
• The QCD transition temperature: results with physical masses in the continuum limit
• Conformal Relativistic Viscous Hydrodynamics: Applications to RHIC results at sqrt(s_NN) = 200 GeV
• Equation of state and QCD transition at finite temperature
• Suppression of charged particle production at large transverse momentum in central Pb-Pb collisions at $\sqrt{s_{\mathrm{NN}}}=2.76$ TeV
• Hydrodynamic Transport Coefficients in Relativistic Scalar Field Theory
• From Quantum Field Theory to Hydrodynamics: Transport Coefficients and Effective Kinetic Theory
• Thermal Dileptons at LHC
• Heavy-Quark Kinetics in the QGP at LHC
• Heavy Ion Collisions at the LHC - Last Call for Predictions
• Has the QCD Critical Point been Signaled by Observations at RHIC ?
• Harmonic decomposition of two-particle angular correlations in Pb-Pb collisions at $\sqrt{s_{\mathrm{NN}}}$ = 2.76 TeV
• Violation of the Holographic Viscosity Bound in a Strongly Coupled Anisotropic Plasma
• Transport coefficients and resonances for a meson gas in Chiral Perturbation Theory
• Is there a "most perfect fluid" consistent with quantum field theory?
• Shear Viscosity in the O(N) Model
• Pion Dynamics at Finite Temperature
• The finite temperature QCD using 2+1 flavors of domain wall fermions at N_t = 8
• Transport coefficients from the 2PI effective action
• Hydrodynamic radial and elliptic flow in heavy-ion collisions from AGS to LHC energies
• Three-body collisions in Boltzmann-Uehling-Uhlenbeck theory
• Spectral functions for composite fields and viscosity in hot scalar field theory
• Transport coefficients in Chiral Perturbation Theory
• On the mean free paths of pions and kaons in hot hadronic matter
• Shear viscosity of the quark matter
• Dissipative Relativistic Fluid Dynamics for Nuclear Collisions
• Equation of State and Collective Dynamics

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