Magnetic catalysis and inverse magnetic catalysis in nonlocal chiral quark models

TL;DR

This paper investigates how nonlocal chiral quark models predict magnetic catalysis at zero temperature and inverse magnetic catalysis at finite temperature, aligning with lattice QCD results and highlighting differences from local models.

Contribution

It demonstrates that nonlocal chiral quark models naturally reproduce inverse magnetic catalysis at finite temperature, unlike local models, providing better agreement with lattice QCD.

Findings

Quark condensates exhibit magnetic catalysis at zero temperature.

Nonlocal models predict inverse magnetic catalysis at finite temperature.

Results align quantitatively with lattice QCD data.

Abstract

We study the behavior of strongly interacting matter under an external constant magnetic field in the context of nonlocal chiral quark models within the mean field approximation. We find that at zero temperature the behavior of the quark condensates shows the expected magnetic catalysis effect, our predictions being in good quantitative agreement with lattice QCD results. On the other hand, in contrast to what happens in the standard local Nambu-Jona-Lasinio model, when the analysis is extended to the case of finite temperature our results show that nonlocal models naturally lead to the Inverse Magnetic Catalysis effect.