Shear viscosity of the Quark-Gluon Plasma from a virial expansion

Abstract

We calculate the shear viscosity $\eta$ in the quark-gluon plasma (QGP) phase within a virial expansion approach with particular interest in the ratio of $\eta$ to the entropy density $s$, i.e. $\eta /s$. The virial expansion approach allows us to include the interactions between the partons in the deconfined phase and to evaluate the corrections to a single-particle partition function. In the latter approach we start with an effective interaction with parameters fixed to reproduce thermodynamical quantities of QCD such as energy and/or entropy density. We also directly extract the effective coupling $\ga_{\rm V}$ for the determination of $\eta$. Our numerical results give a ratio $\eta /s\approx 0.097$ at the critical temperature $T_{\mathrm{c}}$, which is very close to the theoretical bound of $1/(4\pi )$. Furthermore, for temperatures $T\le 1.8T_{\mathrm{c}}$ the ratio $\eta /s$ is in the range of the present experimental estimates $0.1-0.3$ at RHIC. When combining our results for $\eta /s$ in the deconfined phase with those from chiral perturbation theory or the resonance gas model in the confined phase we observe a pronounced minimum of $\eta /s$ close to the critical temperature $T_{\mathrm{c}}$.

Published in Eur. Phys. J. C, 7 pages, 2 figures, 3 table

References in corpus (53)

• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• QCD at Finite Baryon Density: Nucleon Droplets and Color Superconductivity
• Color-Flavor Locking and Chiral Symmetry Breaking in High Density QCD
• New Forms of QCD Matter Discovered at RHIC
• The QCD transition temperature: results with physical masses in the continuum limit
• Phases of QCD: lattice thermodynamics and a field theoretical model
• Critical point of QCD at finite T and μ, lattice results for physical quark masses
• What RHIC Experiments and Theory tell us about Properties of Quark-Gluon Plasma ?
• Lattice determination of the critical point of QCD at finite T and μ
• Elliptic flow in Au+Au collisions at sqrt(s_NN) = 130 GeV
• Transport coefficients in high temperature gauge theories: (II) Beyond leading log
• Transport coefficients in high temperature gauge theories: (I) Leading-log results
• The QCD thermal phase transition in the presence of a small chemical potential
• The QCD Equation of State with almost Physical Quark Masses
• Finite density QCD via imaginary chemical potential
• New Developments in Relativistic Viscous Hydrodynamics
• Thermodynamics of Two Flavor QCD to Sixth Order in Quark Chemical Potential
• On the Strongly-Interacting Low-Viscosity Matter Created in Relativistic Nuclear Collisions
• Elliptic flow at SPS and RHIC: from kinetic transport to hydrodynamics
• Static quark anti-quark interactions in zero and finite temperature QCD. I. Heavy quark free energies, running coupling and quarkonium binding
• Coupling Constant Dependence in the Thermodynamics of N=4 Supersymmetric Yang-Mills Theory
• A calculation of the shear viscosity in SU(3) gluodynamics
• The Equation of State for Two Flavor QCD at Non-zero Chemical Potential
• Directed and elliptic flow of charged pions and protons in Pb+Pb collisions at 40 and 158A GeV
• Saturation of Elliptic Flow and the Transport Opacity of the Gluon Plasma at RHIC
• Transport Coefficients of Gluon Plasma
• Perfect Fluidity of the Quark Gluon Plasma Core as Seen through its Dissipative Hadronic Corona
• Has the QCD Critical Point been Signaled by Observations at RHIC ?
• Static quark anti-quark free energy and the running coupling at finite temperature
• Transport Coefficients of Hadronic Matter near $T_c$
• Is early thermalization achieved only near midrapidity at RHIC ?
• The hot non-perturbative gluon plasma is an almost ideal colored liquid
• The QCD equation of state at nonzero densities: lattice result
• Flow Measurements via Two-particle Azimuthal Correlations in Au + Au Collisions at sqrt(s_NN) = 130 GeV
• Elliptic flow from a parton cascade
• QCD thermodynamics from an imaginary mu_B: results on the four flavor lattice model
• Small Shear Viscosity of a Quark-Gluon Plasma Implies Strong Jet Quenching
• Dynamical quasiparticles properties and effective interactions in the sQGP
• QCD thermodynamics and confinement from a dynamical quasiparticle point of view
• Shear Viscosity to Entropy Density Ratio of QCD below the Deconfinement Temperature
• Viscosity coefficients for hadron and quark-gluon phases
• Semi-Hard Scattering Unraveled from Collective Dynamics by Two-Pion Azimuthal Correlations in 158 A GeV/c Pb + Au Collisions
• Hard gluon damping in hot QCD
• Power corrections in the quark-antiquark potential at finite temperature
• Erratum "The Quark-Gluon-Plasma Liquid"
• Hard parton damping in hot QCD
• Shear Viscosity of Quark Matter
• Lattice QCD at finite T and μ
• Structure Functions and Pair Correlations of the Quark-Gluon Plasma
• Light-front Nambu--Jona-Lasinio model at finite temperature and density
• Scaling patterns of the suppression of ${\pi }^0$ yields in Au+Au collisions at $\sqrt{s_{NN}}=200$ GeV: links to the transport properties of the QGP
• QCD equation of state in a virial expansion
• HTL approach to the viscosity of quark plasma

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