Interplay between chiral and axial symmetries in a SU(2) Nambu--Jona-Lasinio Model with the Polyakov loop

Abstract

We consider a two flavor Polyakov--Nambu--Jona-Lasinio (PNJL) model where the Lagrangian includes an interaction term that explicitly breaks the U${}_A(1)$ anomaly. At finite temperature, the restoration of chiral and axial symmetries, signaled by the behavior of several observables, is investigated. We compare the effects of two regularizations at finite temperature, one of them, that allows high momentum quarks states, leading to the full recovery of chiral symmetry. From the analysis of the behavior of the topological susceptibility and of the mesonic masses of the axial partners, it is found in the SU(2) model that, unlike the SU(3) results, the recovery of the axial symmetry is not a consequence of the full recovery of the chiral symmetry. Thus, one needs to use an additional idea, by means of a temperature dependence of the anomaly coefficient, that simulates instanton suppression effects.

21 pages, 5 figures; PRD version

References in corpus (9)

• Mesonic correlation functions at finite temperature and density in the Nambu-Jona-Lasinio model with a Polyakov loop
• Three flavor Nambu-Jona Lasinio model with Polyakov loop and competition with nuclear matter
• Scalar-pseudoscalar meson behavior and restoration of symmetries in SU(3) PNJL model
• Analysis of U${}_A$(1) symmetry-breaking and restoration effects on the scalar-pseudoscalar spectrum
• Chiral Lagrangian at finite temperature from the Polyakov-Chiral Quark Model
• Pseudoscalars Mesons in Hot, Dense Matter
• Topological Susceptibility in Two Flavors Lattice QCD with the Optimal Domain-Wall Fermion
• Theta vacuum effects on QCD phase diagram
• Effects of the Regularization on the Restoration of Chiral and Axial Symmetries

Cited by in corpus (8)

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• Quark Number Susceptibility : Revisited with Fluctuation-Dissipation Theorem in mean field theories
• Effects of entanglement and instanton suppression at finite temperature in a SU(2) EPNJL model with anomaly
• Deconfinement vs. chiral symmetry and higher representation matter
• $U_A(1)$ symmetry restoration at high baryon density
• Extrapolation for meson screening masses from imaginary to real chemical potential
• Susceptibilities of rotating quark matter in Fourier-Bessel basis