Quark-hadron phase transition in a three flavor PNJL model for interacting quarks

Abstract

We extend our previous study of the quark-hadron phase transition at finite temperatures with zero net baryon density by two flavor Nambu-Jona-Lasinio model with Polyakov loop to the three flavor case in a scheme which incorporates flavor nonet pseudo scalar and scalar mesonic correlations on equal footing. The role of the axial U(1) breaking Kobayashi-Maskawa-'t Hooft interaction on the low-lying thermal excitations is examined. At low temperatures, only mesonic correlations, mainly due to low mass mesonic collective excitations, pions and kaons, dominate the pressure while thermal excitations of quarks are suppressed by the Polyakov loop. As temperature increases, kaons and pions melt into the continuum of quark and anti-quark excitations successively so that hadronic phase changes continuously to the quark phase where quark excitations dominate pressure together with gluon pressure coming from the effective potential for the Polyakov loop. Since we introduce mesons as not elementary fields but auxiliary fields made from quarks, we can describe the phase transition between hadronic phase and quark phase in a unified fashion.

32 pages, 10 figures

References in corpus (6)

• Mesonic correlation functions at finite temperature and density in the Nambu-Jona-Lasinio model with a Polyakov loop
• The chiral and deconfinement crossover transitions: PNJL model beyond mean field
• Quark number susceptibilities: lattice QCD versus PNJL model
• Enforced neutrality and color-flavor unlocking in the three-flavor Polyakov-loop NJL model
• Confinement and Z_3 symmetry in three-flavor QCD
• Quark-Hadron Phase Transition in the PNJL model for interacting quarks

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• Polyakov-loop suppression of colored states in a quark-meson-diquark plasma
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• Effects of composite pions on the chiral condensate within the PNJL model at finite temperature
• Thermodynamics of quark matter with multiquark clusters in an effective Beth-Uhlenbeck type approach
• Chiral phase transition and kaon-to-pion ratios in the entanglement SU(3) PNJL model
• Finite temperature properties of a modified Polyakov$-$Nambu$-$Jona-Lasinio model
• One-meson-loop NJL model: Effect of collective and noncollective excitations on the quark condensate at finite temperature
• Recent selected theory developments for NICA
• Entropy in the quark-hadron transition
• Pion and kaon in the Beth-Uhlenbeck approach
• Quark cluster expansion model for interpreting finite-T lattice QCD thermodynamics
• Quark-hadron phase transition in a three flavor PNJL model
• Pseudoscalar mesons from a PNJL model at zero temperature