Chiral symmetry in linear Sigma model in magnetic environment

TL;DR

This paper investigates how an external magnetic field influences chiral symmetry and phase transitions in a linear sigma model with fermions, with applications to the dense matter in magnetized neutron stars.

Contribution

It introduces a study of chiral symmetry behavior in a linear sigma model under magnetic fields, focusing on phase transitions relevant to neutron star cores.

Findings

Magnetic fields affect the chiral phase transition in the model.

The study provides insights into the behavior of dense matter in neutron stars.

One-loop effective potential analysis reveals magnetic influence on symmetry restoration.

Abstract

We study the chiral symmetry structure in a linear sigma model with fermions in the presence of an external, uniform magnetic field in the 'effective potential' approach at the one loop level. We also study the chiral phase transition as a function of density in the core of magnetized neutron stars.