Restoration of axial symmetry and its possible relation with restoration of chiral symmetry and deconfinement at finite temperature

TL;DR

This paper explores how axial, chiral, and deconfinement phase transitions are interconnected at finite temperature using SU(2) PNJL models, analyzing thermodynamics, meson spectra, and topological susceptibility.

Contribution

It investigates the relationship between axial, chiral, and deconfinement symmetry restorations within SU(2) PNJL models, including an entangled extension, at finite temperature.

Findings

Axial, chiral, and deconfinement transitions are interconnected.

Entanglement in EPNJL models influences the convergence of symmetry partners.

Topological susceptibility and meson spectra reflect symmetry restoration patterns.

Abstract

The phase transitions characterized by deconfinement and restoration of chiral symmetry as well as the restoration of axial symmetry, at finite temperature, are investigated in the framework of SU(2) Polyakov-Nambu-Jona-Lasinio (PNJL) models with the U$_A$(1) anomaly. The thermodynamics of the phase transitions, the topological susceptibility, the meson spectrum, and, in particular, the convergence of axial and chiral partners are analyzed, in the framework of the ordinary PNJL model and in its extension, the entangled Polyakov-Nambu-Jona-Lasinio (EPNJL) model. The latter incorporates entanglement between restoration of chiral symmetry and deconfinement.