Quark-Hadron Phase Transition in the PNJL model for interacting quarks

Abstract

We study quark-hadron phase transition at finite temperature with zero net baryon density by the Nambu-Jona-Lasinio model for interacting quarks in uniform background temporal color gauge fields. At low temperatures, unphysical thermal quark-antiquark excitations which would appear in the mean field approximation, are eliminated by en- forcing vanishing expectation value of the Polyakov-loop of the background gauge field, while at high temperatures this expectation value is taken as unity allowing thermal excitations of free quarks and antiquarks. Mesonic excitations in the low temperature phase appear in the correlation energy as contributions of collective excitations. We describe them in terms of thermal fluctuations of auxiliary fields in one-loop (Gaus- sian) approximation, where pions appear as Nambu-Goldstone modes associated with dynamical symmetry breaking of the chiral symmetry in the limit of vanishing bare quark masses. We show that at low temperatures the equations of state reduces to that of free meson gas with small corrections arising from the composite nature of mesons. At high temperatures, all these collective mesonic excitations melt into continuum of quark anti-quark excitations and mesonic correlations gives only small contributions the pressure of the system.

33 pages, 11 figures. arXiv admin note: substantial text overlap with arXiv:1206.4921

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• Mott dissociation of pions and kaons in hot, dense quark matter
• Polyakov-loop suppression of colored states in a quark-meson-diquark plasma
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• One-loop constituent quark contributions to the vector and axial-vector meson curvature mass
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• 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
• Entropy in the quark-hadron transition
• Phenomenological QCD equations of state for neutron star mergers
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• Quark-hadron phase transition in a three flavor PNJL model