Anisotropy in the equation of state of strongly magnetized quark matter within the Nambu--Jona-Lasinio Model

TL;DR

This paper investigates the anisotropic properties of strongly magnetized quark matter using the Nambu-Jona-Lasinio model, revealing smooth magnetization oscillations and correcting previous unphysical pressure behaviors.

Contribution

It provides a detailed analysis of magnetization and thermodynamics of magnetized quark matter, including effects of vector interactions, within the NJL model at zero temperature.

Findings

Magnetization oscillates smoothly with density.

Perpendicular pressure remains physically consistent, avoiding previous unphysical results.

Vector interactions influence thermodynamical quantities.

Abstract

In this article, we calculate the magnetization and other thermodynamical quantities for strongly magnetized quark matter within the Nambu-Jona-Lasinio model at zero temperature. We assume two scenarios, chemically equilibrated charge neutral matter present in the interior of compact stars and zero-strangeness isospin-symmetric matter created in nuclear experiments. We show that the magnetization oscillates with density but in a much more smooth form than what was previously shown in the literature. As a consequence, we do not see the unphysical behavior in the pressure in the direction perpendicular to the magnetic field that was previously found. Finally, we also analyze the effects of a vector interaction on our results.