@Article{GomezDumm_etal2023,
author="Gomez Dumm, D.
and Noguera, S.
and Scoccola, N. N.",
title="Charged meson masses under strong magnetic fields: Gauge invariance and Schwinger phases",
journal="Physical Review D",
year="2023",
publisher="Amer Physical Soc",
volume="108",
number="1",
pages="016012--29pp",
abstract="We study the role of the Schwinger phase (SP) that appears in the propagator of a charged particle in the presence of a static and uniform magnetic field (B) over right arrow. We first note that this phase cannot be removed by a gauge transformation; far from this, we show that it plays an important role in the restoration of the symmetries of the system. Next, we analyze the effect of SPs in the one-loop corrections to charged pion and rho meson self-energies. To carry out this analysis we consider first a simple form for the meson-quark interactions, and then we study the pi(+) and rho(-) propagators within the Nambu-Jona-Lasinio model, performing a numerical analysis of the B dependence of meson lowest energy states. For both pi(+) and rho(-) mesons, we compare the numerical results arising from the full calculation-in which SPs are included in the propagators, and meson wave functions correspond to states of definite Landau quantum number-and those obtained within alternative schemes in which SPs are neglected (or somehow eliminated) and meson states are described by plane waves of definite four-momentum.",
optnote="WOS:001164658400011",
optnote="exported from refbase (https://references.ific.uv.es/refbase/show.php?record=6027), last updated on Sun, 07 Apr 2024 21:35:55 +0000",
issn="2470-0010",
doi="10.1103/PhysRevD.108.016012",
opturl="https://arxiv.org/abs/2306.04128",
opturl="https://doi.org/10.1103/PhysRevD.108.016012",
language="English"
}