Eur. Phys. J. Spec. Top. (2022) 231: 103-127
https://doi.org/10.1140/epjs/s11734-022-00439-3

Regular Article

Colorsuperconductivity in magnetised quark matter: an NJL model approach

Theory Division, Physical Research Laboratory, Navrangpura, 380 009, Ahmedabad, India

^a hm@prl.res.in

Received: 26 November 2021
Accepted: 6 January 2022
Published online: 29 January 2022

Abstract

We discuss the vacuum structure of dense quark matter in strong magnetic fields at finite temperature and densities in a three-flavor Nambu Jona Lasinio (NJL) model using a variational method. The method uses an explicit structure for the ‘ground’ state in terms of quark–antiquark condensates related to chiral symmetry breaking as well as diquark condensates related to color superconductivity. The mass gap equations and the superconducting gap equations are solved self-consistently and are used to compute the thermodynamic potential along with charge neutrality conditions. We also derive the equation of state for charge neutral strange quark matter in the presence of strong magnetic fields which could be relevant for neutron stars.