Comparison between LQCD and PNJL model at finite chemical potentials

TL;DR

This paper compares Lattice QCD and PNJL models at finite chemical potentials, showing PNJL can replicate LQCD data in certain regions and predicting the QCD phase diagram at real quark chemical potential.

Contribution

The study demonstrates the effectiveness of the PNJL model in reproducing LQCD results and extends predictions to the real quark chemical potential region.

Findings

PNJL model matches LQCD data in imaginary chemical potential regions.

Model parameters are determined from existing data.

QCD phase diagram is predicted at real quark chemical potential.

Abstract

Lattice QCD has the sign problem at real quark chemical potential. There are some regions with no sign problem; one is the imaginary quark chemical potential region and the others are the real and imaginary isospin chemical potential regions. We show that the Polyakov-loop extended Nambu-Jona-Lasinio (PNJL) model can reproduce LQCD data in the regions. We also determine the model parameters from the data and predict the QCD phase diagram in the real quark chemical potential region.