Shear viscosity to entropy density ratio of a relativistic Hagedorn resonance gas

Abstract

The new state of matter produced at Relativistic Heavy Ion Collider reveals a strongly coupled quark-gluon plasma with an extremely small shear viscosity to entropy density ratio eta/s. We calculate the eta/s of an equilibrated hadron matter characterized by a relativistic hadron resonance gas with a Hagedorn mass spectrum that grows exponentially with the hadron mass. We find with increase in temperature of the system the eta/s value decreases due to rapid increase in the multiplicity of massive resonances. In the vicinity of the critical temperature for deconfinement transition, the minimum value of eta/s in the Hagedorn resonance gas is found to be consistent with the current estimates for a strongly coupled quark-gluon plasma.

5 pages, RevTex, to appear in PLB

References in corpus (14)

• 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
• Suppression of elliptic flow in a minimally viscous quark-gluon plasma
• Has the QCD Critical Point been Signaled by Observations at RHIC ?
• Recent results in relativistic heavy ion collisions: from ``a new state of matter'' to "the perfect fluid"
• Origins of Bulk Viscosity at RHIC
• Shear viscosity of a hadronic gas mixture
• Shear Viscosity to Entropy Density Ratio of QCD below the Deconfinement Temperature
• QCD Viscosity to Entropy Density Ratio in the Hadronic Phase
• Theoretical overview: towards understanding the quark-gluon plasma
• Hadron Resonances and Phase Threshold in Heavy Ion Collisions
• QCD strings and the thermodynamics of the metastable phase of QCD at large $N_c$

Cited by in corpus (37)

• Hadron Mass Spectrum and the Shear Viscosity to Entropy Density Ratio of Hot Hadronic Matter
• Shear and bulk viscosities of strongly-interacting 'infinite' parton-hadron matter within the parton-hadron-string transport approach
• Viscosity coefficients for hadron and quark-gluon phases
• Description of Hot and Dense Hadron Gas Properties in a New Excluded-Volume model
• Transport coefficients of a hot QCD medium and their relative significance in heavy-ion collisions
• Shear viscosity of pion gas due to $\rho \pi \pi$ and $\sigma \pi \pi$ interactions
• The nucleon thermal width due to pion-baryon loops and its contribution in Shear viscosity
• Understanding the $p/\pi$ ratio at LHC due to QCD mass spectrum
• Calculations of Shear, Bulk viscosities and Electrical conductivity in Polyakov-Quark-Meson model
• Bulk and Shear Viscosity in Hagedorn Fluid
• Shear viscosity of hot nuclear matter by the mean free path method
• Particle production in Ultra-relativistic Heavy-Ion Collisions : A Statistical-Thermal Model Review
• Transport coefficients in a finite volume Polyakov--Nambu--Jona-Lasinio model
• Finite size effect of hadronic matter on its transport coefficients
• Shear viscosity to entropy density ratio in the Boltzmann-Uehling-Uhlenbeck model
• van der Waals hadron resonance gas and QCD phase diagram
• Shear viscosity to entropy density ratio in nuclear multifragmentation
• Building a testable shear viscosity across the QCD phase diagram
• Temperature Effect on Shear and Bulk Viscosities of QCD Matter
• Effect of time-varying electromagnetic field on Wiedemann-Franz law in a hot hadronic matter
• Phenomenological bound on the viscosity of the hadron resonance gas
• Dilepton production in a schematic causal viscous hydrodynamics
• In-medium viscous coefficients of a hot hadronic gas mixture
• Shear viscosity of pionic and nucleonic components from their different possible mesonic and baryonic thermal fluctuations
• Ratio of shear viscosity to entropy density in multifragmentation of Au + Au
• Elliptic Flow Suppression due to Hadron Mass Spectrum
• Specific viscosity of neutron-rich nuclear matter from a relaxation time approach
• The Shear Viscosity to Entropy Density Ratio of Hagedorn States
• Viscosity calculations from Hadron Resonance Gas model: Finite size effect
• Contribution of Kaon component in viscosity and conductivity of hadronic medium
• Shear viscosity over entropy density ratio with extended quasi-particles
• Hadronic resonance gas and charged particle's $p_T$ spectra and elliptic flow in $\sqrt{s}$=200 GeV Au+Au collisions
• Shear viscosity from perturbative Quantum Chromodynamics to the hadron resonance gas at finite baryon, strangeness, and electric charge densities
• Strangeness at finite temperature from Lattice QCD
• In-medium thermal conductivity and diffusion coefficients of a hot hadronic gas mixture
• The $\eta /s$ of the LQCD-EoS complied hadron gas of different sizes approach common minimum near the crossover temperature
• Testing the hadronic spectrum in the strange sector