Weak magnetic field effects on chiral critical temperature in a nonlocal Nambu--Jona-Lasinio model

TL;DR

This paper investigates how weak magnetic fields influence the critical temperature for chiral symmetry restoration in a nonlocal Nambu--Jona-Lasinio model, focusing on low magnetic field effects in the chiral limit.

Contribution

It provides a detailed analysis of the magnetic evolution of the critical temperature in a nonlocal NJL model under weak magnetic fields, complementing existing studies in the strong field regime.

Findings

Critical temperature varies with weak magnetic fields

Analysis conducted in the chiral limit

Focus on low magnetic field effects

Abstract

In this article we study the nonlocal Nambu--Jona-Lasinio model with a Gaussian regulator in the chiral limit. Finite temperature effects and the presence of a homogeneous magnetic field are considered. The magnetic evolution of the critical temperature for chiral symmetry restoration is then obtained. Here we restrict ourselves to the case of low magnetic field values, being this a complementary discussion to the exisiting analysis in nonlocal models in the strong magnetic field regime.