Chiral symmetry breaking in a semi-localized magnetic field

TL;DR

This paper investigates how a semi-localized magnetic field influences chiral symmetry breaking and restoration in quark matter, revealing local catalysis effects relevant to heavy ion collision scenarios.

Contribution

It introduces a solvable magnetic field model within the Nambu--Jona-Lasinio framework to study local chiral symmetry dynamics in realistic collision environments.

Findings

Discrete spectra contributions dominate over continuum in magnetic effects.

Chiral symmetry breaking is locally enhanced by magnetic field strength and scale.

Results are relevant for understanding quark matter evolution in heavy ion collisions.

Abstract

In this work, I'm going to explore the pattern of chiral symmetry breaking and restoration in a solvable magnetic distribution within Nambu--Jona-Lasinio model. The special semi-localized static magnetic field can roughly simulate the realistic situation in peripheral heavy ion collisions, thus the study is important for the dynamical evolution of quark matter. I find that the magnetic field dependent contribution from discrete spectra usually dominates over that from continuum ones and chiral symmetry breaking is locally catalyzed by both the magnitude and scale of the magnetic field.