Does there arise a significant enhancement of the dynamical quark mass in external magnetic field?

TL;DR

This paper investigates whether an external magnetic field significantly enhances the dynamical quark mass within the Nambu--Jona-Lasinio model, inspired by analogous effects observed in QED for electrons.

Contribution

It explores the potential enhancement of dynamical quark mass in magnetic fields, extending previous QED findings to the context of quarks using the NJL model.

Findings

Analysis suggests possible mass enhancement in magnetic fields.

Results indicate the effect depends on the bare mass and magnetic field strength.

Provides theoretical insights into magnetic catalysis of chiral symmetry breaking.

Abstract

Recently, it was found in QED that the generation of a dynamical electron mass in a strong magnetic field is significantly enhanced by the perturbative electron mass. In the present paper, the related question of a possible enhancement of the dynamical quark mass in an external magnetic field and with a bare mass term is investigated in the Nambu--Jona-Lasinio model.