TY  - JOUR
AU  - Gomez Dumm, D.
AU  - Noguera, S.
AU  - Scoccola, N. N.
PY  - 2023
DA  - 2023//
TI  - Charged meson masses under strong magnetic fields: Gauge invariance and Schwinger phases
T2  - Phys. Rev. D
JO  - Physical Review D
SP  - 016012
EP  - 29pp
VL  - 108
IS  - 1
PB  - Amer Physical Soc
AB  - 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.
SN  - 2470-0010
UR  - https://arxiv.org/abs/2306.04128
UR  - https://doi.org/10.1103/PhysRevD.108.016012
DO  - 10.1103/PhysRevD.108.016012
LA  - English
N1  - WOS:001164658400011
ID  - GomezDumm_etal2023
ER  -