Abstract
The mass spectrum of and mesons in the presence of a static uniform magnetic field is studied within a two-flavor Nambu-Jona-Lasinio-like model. We improve previous calculations, taking into account the effect of Schwinger phases carried by quark propagators and using an expansion of meson fields in terms of the solutions of the corresponding equations of motion for nonzero . It is shown that the meson polarization functions are diagonal in this basis. Our numerical results for the meson spectrum are found to disfavor the existence of a meson condensate induced by the magnetic field. In the case of the meson, — mixing effects are analyzed for the meson lowest-energy state. The predictions of the model are compared with available lattice QCD results.
- Received 2 October 2022
- Accepted 7 November 2022
DOI:https://doi.org/10.1103/PhysRevD.106.094035
Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.
Published by the American Physical Society