Entanglement between deconfinement transition and chiral symmetry restoration

TL;DR

This paper introduces an extended PNJL model with an entanglement interaction between the Polyakov loop and chiral condensate, aligning with lattice QCD data and exploring phase transition points in QCD.

Contribution

The paper develops a new entangled PNJL model that captures the correlation between deconfinement and chiral symmetry restoration, consistent with recent lattice QCD findings.

Findings

Model agrees with lattice QCD data at various chemical potentials.

Entanglement affects the location of the tricritical and critical endpoints.

Enhanced understanding of phase transition interplay in QCD.

Abstract

We extend the Polyakov-loop extended Nambu-Jona-Lasinio (PNJL) model by introducing an effective four-quark vertex depending on Polyakov loop. The effective vertex generates entanglement interactions between Polyakov loop and chiral condensate. The new model is consistent with lattice QCD data at imaginary quark-number chemical potential and real and imaginary isospin chemical potentials, particularly on strong correlation between the chiral and deconfinement transitions and also on the quark-mass dependence of the order of the Roberge-Weiss endpoint predicted by lattice QCD very lately. We investigate an influence of the entanglement interactions on a location of the tricritical point at real isospin chemical potential and a location of the critical endpoint at real quark-number chemical potential.