Quark matter phase diagram under the influence of strong magnetic fields with a nonlocal chiral model

TL;DR

This paper investigates the phase diagram of quark matter under strong magnetic fields using a nonlocal chiral model, revealing a critical end point that varies with magnetic field strength.

Contribution

It introduces a nonlocal extension of the Polyakov Nambu-Jona-Lasinio model to analyze magnetic field effects on quark matter phase transitions.

Findings

Presence of a critical end point in the phase diagram.

The CEP's position depends on the magnetic field strength.

Deconfinement and chiral symmetry restoration transitions are studied.

Abstract

We study the phase diagram in the $T-\mu$ plane for quark matter under the influence of a strong uniform magnetic field $\vec{B}$, in the framework of a non-local extension of the two-flavor Polyakov Nambu-Jona-Lasinio model. We analyze the deconfinement and chiral symmetry restoration transitions in the mean field approximation. For the considered parameterization, it is found that there is always a critical end point (CEP) in the $T-\mu$ plane that separates a first-order transition line from a smooth crossover. The location of the CEP is studied as a function of the magnetic field.