Phase diagrams in the three-flavor Nambu--Jona-Lasinio model with the Polyakov loop

Abstract

We present extensive studies on hot and dense quark matter with two light and one heavy flavors in the Nambu--Jona-Lasinio model with the Polyakov loop (so-called PNJL model). First we discuss prescription dependence in choosing the Polyakov loop effective potential and propose a simple and rather sensible ansatz. We look over quantitative comparison to the lattice measurement to confirm that the model captures thermodynamic properties correctly. We then analyze the phase structure with changing the temperature, quark chemical potential, quark masses, and coupling constants. We particularly investigate how the effective U_A(1) restoration and the induced vector-channel interaction at finite density would affect the QCD critical point.

17 pages, 18 figures, Figure 18 (effect of g_V) replaced as corrected in Erratum. No change in other results

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• The QCD Equation of State with almost Physical Quark Masses
• The Phase Structure of the Polyakov--Quark-Meson Model
• Polyakov loop, diquarks and the two-flavour phase diagram
• Susceptibilities and the Phase Structure of a Chiral Model with Polyakov Loops
• The chiral critical line of N_f=2+1 QCD at zero and non-zero baryon density
• Susceptibilities and speed of sound from PNJL model
• 2+1 Flavor Polyakov--Nambu--Jona-Lasinio Model at Finite Temperature and Nonzero Chemical Potential
• Critical endpoint in the Polyakov-loop extended NJL model
• Three flavor Nambu-Jona Lasinio model with Polyakov loop and competition with nuclear matter
• Quark number susceptibilities: lattice QCD versus PNJL model
• Quark Number Fluctuations in a Chiral Model at Finite Baryon Chemical Potential
• Polyakov loop extended NJL model with imaginary chemical potential
• Model study of the sign problem in the mean-field approximation
• Chirally symmetric but confining dense and cold matter
• Enforced neutrality and color-flavor unlocking in the three-flavor Polyakov-loop NJL model
• Polyakov loop and the color-flavor locked phase of Quantum Chromodynamics

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