Effects of the Regularization on the Restoration of Chiral and Axial Symmetries

Abstract

The effects of a type of regularization for finite temperatures on the estoration of chiral and axial symmetries are investigated within the SU(3) Nambu-Jona-Lasinio model. The regularization consists in using an infinite cutoff in the integrals that are convergent at finite temperature, a procedure that allows one to take into account the effects of high momentum quarks at high temperatures. It is found that the critical temperature for the phase transition is closer to lattice results than the one obtained with the conventional regularization, and the restoration of chiral and axial symmetries, signaled by the behavior of several observables, occurs simultaneously and at a higher temperature. The restoration of the axial symmetry appears as a natural consequence of the full recovering of the chiral symmetry that was dynamically broken. By using an additional ansatz that simulates instanton suppression effects, by means of a convenient temperature dependence of the anomaly coefficient, we found that the restoration of U(2) symmetry is shifted to lower values, but the dominant effect at high temperatures comes from the new regularization that enhances the decrease of quark condensates, especially in the strange sector.

arXiv comment15 pages, 5 figures; PRD version

References in corpus (21)

• Phases of QCD: lattice thermodynamics and a field theoretical model
• Polyakov loop in chiral quark models at finite temperature
• Topological susceptibility at zero and finite $T$ in SU(3) Yang-Mills theory
• Quark Number Fluctuations in a Chiral Model at Finite Baryon Chemical Potential
• Lattice QCD at finite temperature and density
• 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 at zero and finite temperature in the Nambu-Jona-Lasinio model
• Effective Restoration of the U_A(1) symmetry in the SU(3) linear sigma model
• The QCD critical end point in the SU(3) Nambu--Jona-Lasinio model
• Partial $U(1{)}_A$ Restoration and $\eta$ Enhancement in High-Energy Heavy-Ion Collisions
• Behaviour of the topological susceptibility in two colour QCD across the finite density transition
• Effective restoration of the U_A(1) symmetry with temperature and density
• Unusual bound states of quark matter within the NJL model
• Strong $U_A(1)$ breaking in radiative $\eta$ decays
• How far is normal nuclear matter from the chiral symmetry restoration?
• How to preserve symmetries with cut-off regularized integrals?
• Anomalous decay of pion and eta at finite density
• Anomalous decay of pion and eta at finite temperature
• Behavior of the topological susceptibility at finite T and $\mu$ and signs of restoration of chiral symmetries

Cited by in corpus (10)

• Phase diagram and critical properties within an effective model of QCD: the Nambu-Jona-Lasinio model coupled to the Polyakov loop
• Scalar-pseudoscalar meson behavior and restoration of symmetries in SU(3) PNJL model
• How parameters and regularization affect the PNJL model phase diagram and thermodynamic quantities
• Thermodynamic potential with correct asymptotics for PNJL model
• Effects of entanglement and instanton suppression at finite temperature in a SU(2) EPNJL model with anomaly
• Interplay between chiral and axial symmetries in a SU(2) Nambu--Jona-Lasinio Model with the Polyakov loop
• Effect of mesonic off-shell correlations in the PNJL equation of state
• Regularization parameter independent analysis in Nambu-Jona-Lasinio model
• Finite temperature properties of a modified Polyakov$-$Nambu$-$Jona-Lasinio model
• Thermomagnetic effects on light pseudo-scalar meson masses within the SU(3) Nambu-Jona--Lasinio model