Hot QCD equations of state and relativistic heavy ion collisions

Abstract

We study two recently proposed equations of state (EOS) which are obtained from high temperature QCD, and show how they can be adapted to use them for making predictions for relativistic heavy ion collisions. The method involves extracting equilibrium distribution functions for quarks and gluons from the EOS, which in turn will allow a determination of the transport and other bulk properties of the quark gluon plasma. Simultaneously, the method also yields a quasi particle description of interacting quarks and gluons. The first EOS is perturbative in the QCD coupling constant and has contributions of $O(g^5)$. The second EOS is an improvement over the first, with contributions upto $O(g^{6}ln(\frac{1}{g}))$; it incorporates the nonperturbative hard thermal contributions. The interaction effects are shown to be captured entirely by the effective chemical potentials for the gluons and the quarks, in both the cases. The chemical potential is seen to be highly sensitive to the EOS. As an application, we determine the screening lengths which are, indeed the most important diagnostics for QGP. The screening lengths are seen to behave drastically differently depending on the EOS considered., and yield, therefore, a way to distinguish the two equations of state in heavy ion collisions.

11 pages, fifteen figures, two column, accepted for publication in PRC

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• Transport coefficients of hot magnetized QCD matter beyond the lowest Landau level approximation
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• Bulk viscosity of a hot QCD/QGP medium in strong magnetic field within relaxation-time approximation
• Quasi-particle model for lattice QCD: quark-gluon plasma in heavy ion collisions
• Collective excitations of hot QCD medium in a quasi-particle description
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• On the chromoelectric permittivity and Debye screening in hot QCD
• On the bulk viscosity of anisotropically expanding hot QCD plasma
• Transport properties of anisotropically expanding quark-gluon plasma within a quasi-particle model
• Heavy quark dynamics in a hot magnetized QCD medium
• Viscosity and thermodynamic properties of QGP in relativistic heavy ion collisions
• Quarkonia in anisotropic hot QCD medium in a quasi-particle model
• Thermoelectric behaviour of hot collisional and magnetized QCD medium from an effective kinetic theory
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• Viscous modifications to quark and gluon distribution functions in quark-gluon plasma medium
• Thermal transport in a weakly magnetized hot QCD medium
• On the Thermodynamic Geometry of Hot QCD
• Thermodynamic Geometry: Evolution, Correlation and Phase Transition
• From Non-interacting to Interacting Picture of Thermodynamics and Transport Coefficients for Quark Gluon Plasma
• Strong Interactions, (De)coherence and Quarkonia
• Medium effect on anisotropic surface tension of magnetized quark matter
• Relativistic second order dissipative hydrodynamics from effective fugacity quasi particle model
• Thermoelectric response of a hot and weakly magnetized anisotropic QCD medium
• Baryon Number Fluctuations in Quasi-particle Model
• Screening properties of quark-gluon plasma obtained from distribution and correlation functions of the constituent quasiparticle model