Charged pion masses under strong magnetic fields in the NJL model
M. Coppola, D. Gomez Dumm, N.N. Scoccola
TL;DR
This paper investigates how charged pion masses change under strong magnetic fields using the NJL model, employing analytical and numerical methods to compare with lattice QCD results.
Contribution
It introduces a magnetic field-independent regularization scheme and applies the Ritus eigenfunction method to accurately analyze charged pion masses in magnetic fields.
Findings
Charged pion masses increase with magnetic field strength.
The NJL model predictions align well with lattice QCD data.
Analytical and numerical approaches provide consistent results.
Abstract
The behavior of charged pion masses in the presence of a static uniform magnetic field is studied in the framework of the two-flavor NJL model, using a magnetic field-independent regularization scheme. Analytical calculations are carried out employing the Ritus eigenfunction method, which allows us to properly take into account the presence of Schwinger phases in the quark propagators. Numerical results are obtained for definite model parameters, comparing the predictions of the model with present lattice QCD results.
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