Thermodynamics of strongly interacting matter in a hybrid model

Abstract

The equation of state and fluctuations of conserved charges in a strongly interacting medium under equilibrium conditions form the baseline upon which various possible scenarios in relativistic heavy-ion collision experiments are built. Many of these quantities have been obtained in the lattice QCD framework with reliable continuum extrapolations. Recently the Polyakov$-$Nambu$-$Jona-Lasinio model has been reparametrized to some extent to reproduce quantitatively the lattice QCD equation of state at vanishing chemical potentials. The agreement was precise except at low temperatures, possibly due to inadequate representation of the hadronic degrees of freedom in the model. This disagreement was also observed for some of the fluctuation and correlations considered. Here we address this issue by introducing the effects of hadrons through the Hadron Resonance Gas model. The total thermodynamic potential is now a weighted sum of the thermodynamic potential of the Polyakov$-$Nambu$-$Jona-Lasinio model and that of the Hadron Resonance Gas model. We find that the equation of state and the fluctuations and correlations obtained in this hybrid model agrees satisfactorily with the lattice QCD data in the low temperature regime.

arXiv comment17 pages, 10 figures. arXiv admin note: text overlap with arXiv:1609.07882

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• Diffusion and fluctuations of open charmed hadrons in an interacting hadronic medium
• Finite temperature properties of a modified Polyakov$-$Nambu$-$Jona-Lasinio model
• Effect of finite volume on thermodynamics of quark-hadron matter
• Consistent approach to study gluon quasi-particles
• Exploring the hadron resonance gas phase on the QCD phase diagram
• Chemical freeze-out systematics of thermal model analysis using hadron yield ratios