The QCD critical end point in the PNJL model

Abstract

We investigate the role played by the Polyakov loop in the dynamics of the chiral phase transition in the framework of the so-called PNJL model in the SU(2)sector. We present the phase diagram where the inclusion of the Polyakov loop moves the critical points to higher temperatures, compared with the NJL model results. The critical properties of physical observables, such as the baryon number susceptibility and the specific heat, are analyzed in the vicinity of the critical end point, with special focus on their critical exponents. The results with the PNJL model are closer to lattice results and we also recover the universal behavior of the critical exponents of both the baryon susceptibility and the specific heat.

12 pages, 3 figures, EPL version

References in corpus (30)

• Signatures of the Tricritical Point in QCD
• Chiral effective model with the Polyakov loop
• Phases of QCD: lattice thermodynamics and a field theoretical model
• Critical point of QCD at finite T and μ, lattice results for physical quark masses
• On the Phase Diagram of QCD
• Color Superconductivity and Chiral Symmetry Restoration at Nonzero Baryon Density and Temperature
• The Phase Structure of the Polyakov--Quark-Meson Model
• Polyakov loop, diquarks and the two-flavour phase diagram
• Random matrix model of QCD at finite density and the nature of the quenched limit
• Universality, the QCD critical/tricritical point and the quark number susceptibility
• Quark-Gluon Plasma as a Condensate of Z(3) Wilson Lines
• Susceptibilities and the Phase Structure of a Chiral Model with Polyakov Loops
• Chiral Symmetry Restoration and $Z_N$ Symmetry
• Polyakov loop in chiral quark models at finite temperature
• Mesonic correlation functions at finite temperature and density in the Nambu-Jona-Lasinio model with a Polyakov loop
• Susceptibilities near the QCD (tri)critical point
• Hydrodynamical evolution near the QCD critical end point
• The chiral and deconfinement crossover transitions: PNJL model beyond mean field
• Flavor-Mixing Effects on the QCD Phase Diagram at non-vanishing Isospin Chemical Potential: One or Two Phase Transitions?
• The phase diagram and bulk thermodynamical quantities in the NJL model at finite temperature and density
• Critical endpoint in the Polyakov-loop extended NJL model
• Three flavor Nambu-Jona Lasinio model with Polyakov loop and competition with nuclear matter
• Mapping the QCD Phase Diagram
• Thermodynamics and critical behavior in the Nambu-Jona-Lasinio model of QCD
• Chiral Lagrangian at finite temperature from the Polyakov-Chiral Quark Model
• Thermodynamics using Wilson and Staggered Quarks
• The QCD critical end point in the SU(3) Nambu--Jona-Lasinio model
• Lattice QCD at High Temperature and the QGP
• Event-by-event fluctuations at SPS
• Fluctuation Results from PHENIX

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