2+1 Flavor Polyakov--Nambu--Jona-Lasinio Model at Finite Temperature and Nonzero Chemical Potential

Abstract

We extend the Polyakov-loop improved Nambu--Jona-Lasinio (PNJL) model to 2+1 flavor case to study the chiral and deconfinement transitions of strongly interacting matter at finite temperature and nonzero chemical potential. The Polyakov-loop, the chiral susceptibility of light quarks (u and d) and the strange quark number susceptibility as functions of temperature at zero chemical potential are determined and compared with the recent results of Lattice QCD simulations. We find that there is always an inflection point in the curve of strange quark number susceptibility accompanying the appearance of the deconfinement phase, which is consistent with the result of Lattice QCD simulations. Predictions for the case at nonzero chemical potential and finite temperature are made as well. We give the phase diagram in terms of the chemical potential and temperature and find that the critical endpoint (CEP) moves down to low temperature and finally disappears with the decrease of the strength of the 't Hooft flavor-mixing interaction.

27 pages, 15 figures, accepted for publication in Phys. Rev. D

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• The Phase Structure of the Polyakov--Quark-Meson Model
• The transition temperature in QCD
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• Mesonic correlation functions at finite temperature and density in the Nambu-Jona-Lasinio model with a Polyakov loop
• Thermodynamics of the PNJL model
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• Phase diagram in the imaginary chemical potential region and extended Z3 symmetry
• Determination of QCD phase diagram from the imaginary chemical potential region
• Electrical neutrality and pion modes in the two flavor PNJL model
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• Number of the QCD critical points with neutral color superconductivity
• Correlations among discontinuities in QCD phase diagram
• Probing the QCD vacuum with an abelian chromomagnetic field: A study within an effective model
• A PNJL model in 0+1 Dimensions
• Phase diagram and pion modes of the neutral Nambu-Jona Lasinio model with the Polyakov loop