Mesonic correlation functions at finite temperature and density in the Nambu-Jona-Lasinio model with a Polyakov loop

Abstract

We investigate the properties of scalar and pseudo-scalar mesons at finite temperature and quark chemical potential in the framework of the Nambu-Jona-Lasinio (NJL) model coupled to the Polyakov loop (PNJL model) with the aim of taking into account features of both chiral symmetry breaking and deconfinement. The mesonic correlators are obtained by solving the Schwinger-Dyson equation in the RPA approximation with the Hartree (mean field) quark propagator at finite temperature and density. In the phase of broken chiral symmetry a narrower width for the sigma meson is obtained with respect to the NJL case; on the other hand, the pion still behaves as a Goldstone boson. When chiral symmetry is restored, the pion and sigma spectral functions tend to merge. The Mott temperature for the pion is also computed.

24 pages, 9 figures, version to appear in Phys. Rev. D

References in corpus (3)

• Pseudoscalar neutral mesons in hot and dense matter
• Pseudoscalars Mesons in Hot, Dense Matter
• Finite momentum meson correlation functions in a QCD plasma

Cited by in corpus (26)

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• Critical endpoint in the Polyakov-loop extended NJL model
• Quark number susceptibilities: lattice QCD versus PNJL model
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• Thermodynamics and critical behavior in the Nambu-Jona-Lasinio model of QCD
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• Determination of QCD phase diagram from the imaginary chemical potential region
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• Vector-type four-quark interaction and its impact on QCD phase structure
• Enforced neutrality and color-flavor unlocking in the three-flavor Polyakov-loop NJL model
• Number of the QCD critical points with neutral color superconductivity
• Correlations among discontinuities in QCD phase diagram
• OZI violating eight-quark interactions as a thermometer for chiral transitions
• Meson Screening Masses in the Interacting QCD Plasma
• Probing the QCD vacuum with an abelian chromomagnetic field: A study within an effective model
• A PNJL model in 0+1 Dimensions
• QCD phase diagram and charge fluctuations
• Phase diagram and pion modes of the neutral Nambu-Jona Lasinio model with the Polyakov loop