Magnetic field induced corrections to the NJL model coupling constant from vacuum polarization

TL;DR

This paper calculates magnetic field-dependent corrections to the NJL model's coupling constant using a one-loop background field method, revealing symmetry breaking effects and improving quark condensate predictions compared to lattice QCD.

Contribution

It introduces a novel calculation of magnetic field corrections to the NJL model coupling constant considering vacuum polarization effects.

Findings

Coupling constants break chiral and flavor symmetries under magnetic fields.

Improved agreement of quark condensates with lattice QCD results.

Magnetic field effects on meson masses and eta-eta' mixing angle are quantified.

Abstract

Magnetic field dependent corrections for the coupling constant of the Nambu-Jona-Lasinio model are calculated by considering the one-loop background field method. These coupling constants turn out to break chiral and flavor symmetries and they lead to a slight improvement of the numerical values of the up and down quark condensates when compared to results from lattice QCD. The corresponding magnetic field dependencies of the neutral pion and kaon masses are also presented and compared with available lattice QCD calculations. The resulting magnetic field correction to the $\eta-\eta'$ mixing angle is also estimated.