Thermodynamics of PNJL at zero temperature in a strong magnetic field

TL;DR

This paper investigates the effects of strong magnetic fields on deconfinement and chiral restoration transitions at zero temperature using the PNJL model, revealing magnetic catalysis and potential inverse catalysis phenomena.

Contribution

It introduces a thermodynamic approach to model zero-temperature deconfinement with magnetic fields, incorporating entangled interactions and analyzing magnetic catalysis effects.

Findings

Magnetic catalysis observed with increasing critical chemical potential.

Inverse magnetic catalysis can occur with running coupling interactions.

Stronger magnetic fields expand the quarkyonic phase window.

Abstract

In this paper, the deconfinement and chiral restoration transitions in strong magnetic field is realized at zero temperature in the Polyakov Nambu$-$Jona-Lasinio model. We provide the thermodynamic treatment to mimic the deconfinement phase transition at zero temperature together with the entangled scalar and vector interactions coupled with the Polyakov loop. The magnetic catalysis is found by a rising behavior of the critical chemical potential for the first-order deconfinement phase transition. While the magnetic catalysis on the chiral restoration could convert to inverse magnetic catalysis under the running coupling interaction ansatz. Furthermore, the stronger magnetic field makes the possible quarkyonic phase window to be enlarged under the running coupling interaction.