Scalar-pseudoscalar meson behavior and restoration of symmetries in SU(3) PNJL model

Abstract

The modification of mesonic observables in a hot medium is analyzed as a tool to investigate the restoration of chiral and axial symmetries in the context of the Polyakov-loop extended Nambu--Jona-Lasinio model. The results of the extended model lead to the conclusion that the effects of the Polyakov loop are fundamental for reproducing lattice findings. In particular, the partial restoration of the chiral symmetry is faster in the PNJL model than in the NJL one, and it is responsible for several effects: the meson-quark coupling constants show a remarkable difference in both models, there is a faster tendency to recover the Okubo-Zweig-Iizuka rule, and finally the topological susceptibility nicely reproduces the lattice results around $T/T_c\approx 1.0$.

23 pages, 5 figures, PRD version

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• Pseudoscalar neutral mesons in hot and dense matter
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• Chiral Lagrangian at finite temperature from the Polyakov-Chiral Quark Model
• Pseudoscalars Mesons in Hot, Dense Matter
• $\eta$ and ${\eta }^{\prime }$ mesons in the Dyson-Schwinger approach at finite temperature
• Effects of the Regularization on the Restoration of Chiral and Axial Symmetries

Cited by in corpus (29)

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• How Wide is the Transition to Deconfinement?
• Fluctuation of strongly interacting matter in Polyakov Nambu Jona-Lasinio model in finite volume
• QCD phase diagram at finite baryon and isospin chemical potentials
• The problem of repulsive quark interactions - Lattice versus mean field models
• Effects of quark anomalous magnetic moment on the thermodynamical properties and mesonic excitations of magnetized hot and dense matter in PNJL model
• Polyakov SU(3) extended linear $\sigma$-model: Sixteen mesonic states in chiral phase-structure
• Influence of the Polyakov loop on the chiral phase transition in the two flavor chiral quark model
• Correlations among discontinuities in QCD phase diagram
• SU(3) Polyakov Linear $\sigma$-Model in Magnetic Field: Thermodynamics, Higher-Order Moments, Chiral Phase Structure and Meson Masses
• Fate of the ${\eta }^{\prime }$ in the Quark Gluon Plasma
• Average phase factor in the PNJL model
• Chiral phase structure and sixteen meson states in SU(3) Polyakov linear-sigma model at finite temperature and chemical potential in strong magnetic field
• Strong-interaction matter under extreme conditions from chiral quark models with nonlocal separable interactions
• Nonet meson properties in Nambu--Jona-Lasinio model with dimensional versus cutoff regularization
• Violations of parity and charge conjugation in the theta vacuum with imaginary chemical potential
• Quark Number Susceptibility : Revisited with Fluctuation-Dissipation Theorem in mean field theories
• Magnetic field dependent 't Hooft determinant extended Nambu--Jona-Lasinio Model
• Comparison between the continuum threshold and the Polyakov loop as deconfinement order parameters
• Thermodynamical phases in a PNJL model at zero temperature
• Investigation of meson masses for real and imaginary chemical potential
• New interpretation of chiral phase transition: Violation of trilemma in QCD
• Anisotropy of magnetized quark matter
• Finite temperature properties of a modified Polyakov$-$Nambu$-$Jona-Lasinio model
• Light quarks at finite temperature: chiral restoration and the fate of the $U(1{)}_A$ symmetry
• The mass and spectral function of scalar and pseudoscalar mesons in a hot and chirally imbalanced medium using the two-flavor NJL model
• Using the Beth-Uhlenbeck approach to describe the kaon to pion ratio in a 2+1 flavor PNJL model
• Baryons in the Nambu Jona-Lasinio models