Polyakov loop extended NJL model with imaginary chemical potential

TL;DR

This paper explores the PNJL model with imaginary chemical potential, highlighting its symmetry properties, RW periodicity, and phase diagram predictions consistent with lattice QCD results.

Contribution

It introduces the PNJL model with extended ${ m Z}_3$ symmetry and demonstrates its ability to reproduce RW periodicity and phase diagrams aligned with lattice QCD.

Findings

The model exhibits RW periodicity in invariant quantities.

The phase diagram matches lattice QCD predictions.

The model describes both confinement/deconfinement and chiral transitions.

Abstract

The Polyakov loop extended Nambu--Jona-Lasinio (PNJL) model with imaginary chemical potential is studied. The model possesses the extended ${\mathbb Z}_{3}$ symmetry that QCD does. Quantities invariant under the extended ${\mathbb Z}_{3}$ symmetry, such as the partition function, the chiral condensate and the modified Polyakov loop, have the Roberge-Weiss (RW) periodicity. The phase diagram of confinement/deconfinement transition derived with the PNJL model is consistent with the RW prediction on it and the results of lattice QCD. The phase diagram of chiral transition is also presented by the PNJL model.