Magnetized color superconducting cold quark matter within the SU (2)f NJL model: A novel regularization scheme

Abstract

The influence of intense magnetic fields on the behavior of color superconducting cold quark matter is investigated using an SU(2)f Nambu-Jona-Lasinio-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. In this way, a clearer interpretation of the physical oscillations is possible. The sensitivity of our results to the model parametrization is analyzed.