Inverse Magnetic Catalysis in Nambu--Jona-Lasinio Model beyond Mean Field

TL;DR

This paper investigates inverse magnetic catalysis in the Nambu--Jona-Lasinio model beyond mean field, revealing how meson effects influence quark masses under strong magnetic fields at finite temperature.

Contribution

It introduces a beyond-mean-field approach incorporating meson effects into the NJL model, highlighting the impact on magnetic catalysis phenomena.

Findings

Magnetic catalysis dominates at low temperature.

Meson-dressed quark mass decreases with increasing magnetic field at high temperature.

Inverse magnetic catalysis arises due to meson effects and dimension reduction.

Abstract

We study inverse magnetic catalysis in the Nambu--Jona-Lasinio model beyond mean field approximation. The feed-down from mesons to quarks is embedded in an effective coupling constant at finite temperature and magnetic field. While the magnetic catalysis is still the dominant effect at low temperature, the meson dressed quark mass drops down with increasing magnetic field at high temperature due to the dimension reduction of the Goldstone mode in the Pauli-Villars regularization scheme.