Quasi-particle model for lattice QCD: quark-gluon plasma in heavy ion collisions

Abstract

We propose a quasi-particle model to describe the lattice QCD equation of state for pure SU(3) gauge theory in its deconfined state, for $T\ge 1.5T_c$. The method involves mapping the interaction part of the equation of state to an effective fugacity of otherwise non-interacting quasi-gluons. We find that this mapping is exact. Using the quasi-gluon distribution function, we determine the energy density and the modified dispersion relation for the single particle energy, in which the trace anomaly is manifest. As an application, we first determine the Debye mass, and then the important transport parameters, {\it viz}, the shear viscosity, $\eta$ and the shear viscosity to entropy density ratio, $\eta /\mathcal{S}$. We find that both $\eta$ and $\eta /\mathcal{S}$ are sensitive to the interactions, and that the interactions significantly lower both $\eta$ and $\eta /\mathcal{S}$.

10 pages, 8 figures, epj class file, version accepted for publication in Euro. Phys.J C

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• Quarkonia in anisotropic hot QCD medium in a quasi-particle model
• Heavy quark transport coefficients in a viscous QCD medium with collisional and radiative processes
• Spectral functions of heavy quarkonia in a bulk-viscous quark gluon plasma
• Second order hydrodynamics based on effective kinetic theory and electromagnetic signals from QGP
• Relativistic second order dissipative hydrodynamics from effective fugacity quasi particle model