Transport coefficients of the quark-gluon plasma in ultrarelativistic limit

Abstract

The calculation of the transport coefficients of the strong quark-gluon plasma (sQGP), i.e. sheer viscosity $\eta$, heat conductivity $\gk$ and bulk viscosity $\zeta$, in the first Chapman-Enskog approximation is presented. Their formulation in terms of two-fold integrals depending on the particle interaction, known as relativistic omega integrals, is derived and their evaluation in the ultrarelativistic limit is worked out assuming a cross section independent of the relative and total momentum of two colliding particles. We find a suppression of the bulk viscosity and a pronounced temperature dependence for the sheer viscosity and heat conductivity. However, at high temperatures, they scale with the third and second power of the temperature respectively as expected. Furthermore, we find that all results in this ultrarelativistic expansion are dominated by the leading order contribution.

arXiv comment19 pages, 4 figures

References in corpus (27)

• New Forms of QCD Matter Discovered at RHIC
• Elliptic flow of charged particles in Pb-Pb collisions at 2.76 TeV
• What RHIC Experiments and Theory tell us about Properties of Quark-Gluon Plasma ?
• The QCD Equation of State with almost Physical Quark Masses
• Static quark anti-quark interactions in zero and finite temperature QCD. I. Heavy quark free energies, running coupling and quarkonium binding
• Transport Coefficients of Hadronic Matter near $T_c$
• Quasi-Particle Theory of Shear and Bulk Viscosities of Hadronic Matter
• Shear-Viscosity to Entropy Density Ratio of a Relativistic Hadron Gas
• Viscous QCD matter in a hybrid hydrodynamic+Boltzmann approach
• Elliptic flow from a parton cascade
• Sound waves in strongly coupled non-conformal gauge theory plasma
• Small Shear Viscosity of a Quark-Gluon Plasma Implies Strong Jet Quenching
• The applicability of causal dissipative hydrodynamics to relativistic heavy ion collisions
• Transport properties of cascading gauge theories
• Viscosities of Quark-Gluon Plasmas
• Origins of Bulk Viscosity at RHIC
• Shear and bulk viscosities of the gluon plasma in a quasiparticle description
• Hadron Mass Spectrum and the Shear Viscosity to Entropy Density Ratio of Hot Hadronic Matter
• Thermal Conductivity and Chiral Critical Point in Heavy Ion Collisions
• Shear Viscosities from the Chapman-Enskog and the Relaxation Time Approaches
• Spinodal phase separation in relativistic nuclear collisions
• Power corrections in the quark-antiquark potential at finite temperature
• Hydrodynamic Modeling and the QGP Shear Viscosity
• Shear Viscosity of Quark Matter
• Shear viscosity of an ultrarelativistic Boltzmann gas with isotropic inelastic scattering processes
• HTL approach to the viscosity of quark plasma
• Entropy production for an interacting quark-gluon plasma