Light charged pion in ultra-strong magnetic field

Abstract

In this work, the mass of charged pions is investigated in the presence of background magnetic fields stronger than the energy scale of QCD. We introduce an anomaly magnetic momentum term in the Dirac equation and obtain the quark propagator as consequence. We find a novel finite Landau level, denoted as $tl$LL, becoming dominant rather than the conventional lowest Landau level. We examine that, due to the shifting of Landau level, it drives a mass decreasing around $eB\sim 0.8{\mathrm{GeV}}^2$ for charged pions and their masses drastically limit to the neutral one at ultra-strong magnetic field, $eB\sim 1.6{\mathrm{GeV}}^2$, which is consistent with the recent lattice simulation.

arXiv commentThe assumption on the magnitude of the anomalous magnetic moment applied in this paper is hard to achieve

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Cited by in corpus (2)

• Effect of the anomalous magnetic moment of quarks on magnetized QCD matter and meson spectra
• Magnetic field induced corrections to the NJL model coupling constant from vacuum polarization