CP violation and chiral symmetry breaking in hot and dense quark matter in presence of magnetic field

TL;DR

This paper explores how magnetic fields and CP violation influence chiral symmetry breaking and the phase diagram of hot, dense quark matter using a three-flavor NJL model with a variational approach.

Contribution

It introduces a detailed study of magnetic and CP effects on quark matter phases within a NJL model including the KMT determinant term, with explicit condensate analysis.

Findings

Magnetic field enhances scalar and pseudoscalar condensates.

Inverse magnetic catalysis observed at finite chemical potential.

Magnetic field impacts phase transitions in quark matter.

Abstract

We investigate chiral symmetry breaking and strong CP violation effects on the phase diagram of strongly interacting matter in presence of a constant magnetic field. The effect of magnetic field and strong CP violating term on the phase structure at finite temperature and density is studied within a three flavor Nambu-Jona-Lasinio (NJL) model including the Kobayashi-Maskawa-t'Hooft (KMT) determinant term. This is investigated using an explicit variational ansatz for ground state with quark anti-quark pairs leading to condensates both in scalar and pseudoscalar channels. Magnetic field enhances the condensate in both the channels. Inverse magnetic catalysis for CP transition at finite chemical potential is seen for zero temperature and for small magnetic fields.