Bulk Viscosity of a Gas of Massless Pions

Abstract

In the hadronic phase, the dominant configuration of QCD with two flavors of massless quarks is a gas of massless pions. We calculate the bulk viscosity (zeta) using the Boltzmann equation with the kinetic theory generalized to incorporate the trace anomaly. We find that the dimensionless ratio zeta/s, s being the entropy density, is monotonic increasing below T=120 MeV, where chiral perturbation theory is applicable. This, combined with previous results, shows that zeta/s reaches its maximum near the phase transition temperature Tc, while eta/s, eta being the shear viscosity, reaches its minimum near Tc in QCD with massless quarks.

12 pages, 1 figure; the version to appear in PRC

References in corpus (24)

• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• Viscosity Information from Relativistic Nuclear Collisions: How Perfect is the Fluid Observed at RHIC?
• The QCD Equation of State with almost Physical Quark Masses
• On the Strongly-Interacting Low-Viscosity Matter Created in Relativistic Nuclear Collisions
• A calculation of the bulk viscosity in SU(3) gluodynamics
• Suppression of elliptic flow in a minimally viscous quark-gluon plasma
• A calculation of the shear viscosity in SU(3) gluodynamics
• General coordinate invariance and conformal invariance in nonrelativistic physics: Unitary Fermi gas
• Universal properties of bulk viscosity near the QCD phase transition
• Has the QCD Critical Point been Signaled by Observations at RHIC ?
• Bulk viscosity of gauge theory plasma at strong coupling
• Bulk viscosity of QCD matter near the critical temperature
• The Shear Viscosity to Entropy Density Ratio of Trapped Fermions in the Unitarity Limit
• Shear viscosity of a superfluid Fermi gas in the unitarity limit
• Shear viscosity of a hadronic gas mixture
• Is there a "most perfect fluid" consistent with quantum field theory?
• Shear Viscosity to Entropy Density Ratio of QCD below the Deconfinement Temperature
• Leading Order Calculation of Shear Viscosity in Hot Quantum Electrodynamics from Diagrammatic Methods
• QCD Viscosity to Entropy Density Ratio in the Hadronic Phase
• Bulk viscosity and the conformal anomaly in the pion gas
• A sticky business: the status of the conjectured viscosity/entropy density bound
• Comment on "Is There a "Most Perfect Fluid" Consistent with Quantum Field Theory?"
• Phase Transitions and the Perfectness of Fluids
• On the violation of the holographic viscosity versus entropy KSS bound in non relativistic systems

Cited by in corpus (44)

• Quasi-Particle Theory of Shear and Bulk Viscosities of Hadronic Matter
• Bulk viscosity, particle spectra and flow in heavy-ion collisions
• Interplay of shear and bulk viscosity in generating flow in heavy-ion collisions
• Thermodynamics of deformed AdS${}_5$ model with a positive/negative quadratic correction in graviton-dilaton system
• Shear and bulk viscosities of the gluon plasma in a quasiparticle description
• Transport coefficients and resonances for a meson gas in Chiral Perturbation Theory
• Bulk Viscosity and Cavitation in Boost-Invariant Hydrodynamic Expansion
• Shear and bulk viscosities of strongly-interacting 'infinite' parton-hadron matter within the parton-hadron-string transport approach
• Equilibrium Statistical-Thermal Models in High-Energy Physics
• Viscosity coefficients for hadron and quark-gluon phases
• Small shear viscosity in the semi quark gluon plasma
• The Bulk Viscosity of a Pion Gas
• Bulk viscosity of low-temperature strongly interacting matter
• Electrical and thermal conductivities of hot and dense hadron gas
• Medium effects on the viscosities of a pion gas
• Bulk and Shear Viscosity in Hagedorn Fluid
• Medium effects on the thermal conductivity of a hot pion gas
• 2+1 dimensional hydrodynamics including bulk viscosity: a systematics study
• Renormalized Linear Kinetic Theory as Derived from Quantum Field Theory - a novel diagrammatic method for computing transport coefficients -
• Thermodynamic properties and bulk viscosity near phase transition in the Z(2) and O(4) models
• Inclusive and effective bulk viscosities in the hadron gas
• Shear and Bulk Viscosities of a Gluon Plasma in Perturbative QCD: Comparison of Different Treatments for the gg<->ggg Process
• Shear and Bulk Viscosities of a Weakly Coupled Quark Gluon Plasma with Finite Chemical Potential and Temperature---Leading-Log Results
• Transport coefficients of O(N) scalar field theories close to the critical point
• Viscous properties of hot and dense QCD matter in the presence of a magnetic field
• Negative Off-Diagonal Conductivities in a Weakly Coupled Quark Gluon Plasma
• An estimate of the bulk viscosity of the hadronic medium
• Bulk viscosity of hot dense Quark matter in PNJL model
• Bulk viscosity of the massive Gross-Neveu model
• Dissipative hydrodynamics coupled to chiral fields
• A comparative study on two different expressions of Bulk viscosity in the PNJL model
• Hadron resonance gas with repulsive mean field interaction: Thermodynamics and transport properties
• Viscous Properties of Strongly Interacting Matter at High Temperature
• Strongly coupled matter near phase transition
• Transport coefficients for multi-component gas of hadrons using Chapman Enskog method
• Estimating transport coefficients of interacting pion gas with K-matrix cross sections
• Viscous Leptons in the Quark Gluon Plasma
• Viscous coefficients and thermal conductivity of a $\pi KN$ gas mixture in the medium
• Calculation of bulk viscosity of QCD at zero temperature and finite chemical potential
• Effects of bulk viscosity on hadron spectra and Hanbury-Brown Twiss radius by the causal viscous hydrodynamics
• Parton-hadron matter in- and out-off equilibrium
• Transport coefficients of a massive pion gas
• Cosmological QCD phase transition in steady non-equilibrium dissipative Hořava-Lifshitz early universe
• Bose-Einstein Condensation and Dissipative Dynamics in a Relativistic Pion Gas