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arXiv · 1512.06909

The quark susceptibility in a generalized dynamical quasiparticle model

Hamza Berrehrah·Wolfgang Cassing·Elena Bratkovskaya·Thorsten Steinert
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Abstract

The quark susceptibility $χ_q$ at zero and finite quark chemical potential provides a critical benchmark to determine the quark-gluon-plasma (QGP) degrees of freedom in relation to the results from lattice QCD (lQCD) in addition to the equation of state and transport coefficients. Here we extend the familiar dynamical-quasiparticle model (DQPM) to partonic propagators that explicitly depend on the three-momentum with respect to the partonic medium at rest in order to match perturbative QCD (pQCD) at high momenta. Within the extended dynamical-quasi-particle model (DQPM$^*$) we reproduce simultaneously the lQCD results for the quark number density and susceptibility and the QGP pressure at zero and finite (but small) chemical potential $μ_q$. The shear viscosity $η$ and the electric conductivity $σ_e$ from the extended quasiparticle model (DQPM$^*$) also turn out in close agreement with lattice results for $μ_q$ =0. The DQPM$^*$, furthermore, allows to evaluate the momentum $p$, temperature $T$ and chemical potential $μ_q$ dependencies of the partonic degrees of freedom also for larger $μ_q$ which are mandatory for transport studies of heavy-ion collisions in the regime 5 GeV $< \sqrt{s_{NN}} <$ 10 GeV.

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Hamza Berrehrah, Wolfgang Cassing, Elena Bratkovskaya, Thorsten Steinert. 2015-12-21. The quark susceptibility in a generalized dynamical quasiparticle model. https://doi.org/10.1103/physrevc.93.044914

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