Magnetized color superconducting cold quark matter within the SU(2)$_f$ NJL model: a novel regularization scheme

TL;DR

This paper introduces a new regularization scheme for studying magnetized color superconducting cold quark matter with an SU(2)$_f$ NJL model, effectively removing unphysical oscillations caused by previous methods.

Contribution

A novel regularization scheme is proposed that makes magnetic field-dependent contributions finite, eliminating the need for regularization and reducing unphysical artifacts.

Findings

Magnetic field-dependent contributions are finite with the new scheme.

Unphysical oscillations are naturally removed.

Results are sensitive to model parametrization.

Abstract

The influence of intense magnetic fields on the behavior of color superconducting cold quark matter is investigated using an SU(2)$_f$ NJL-type model for which a novel regulation scheme is introduced. In such a scheme the contributions which are explicitly dependent on the magnetic field turn out to be finite and, thus, do not require to be regularized. As a result of this, nonphysical oscillations that might arise in the alternative regularization schemes previously used in the literature are naturally removed. The sensitivity of our results to the model parametrization is analyzed.