https://doi.org/10.1140/epjc/s10052-023-11567-y
Regular Article - Theoretical Physics
Localization of abelian gauge fields with Stueckelberg-like geometrical coupling on f(T, B)-thick brane
1
Departamento de Física, Universidade Federal do Ceará (UFC), Campus do Pici, C.P. 6030, 60455-760, Fortaleza, CE, Brazil
2
Departamento de Física Teórica and IFIC, Centro Mixto Universidad de Valencia-CSIC, Universidad de Valencia, Burjassot, 46100, Valencia, Spain
Received:
9
February
2023
Accepted:
1
May
2023
Published online:
10
May
2023
In the context of f(T, B) modified teleparallel gravity, we investigate the influence of torsion scalar T and boundary term B on the confinement of both the gauge vector and Kalb–Ramond fields. Both fields require a suitable coupling in five-dimensional braneworld scenarios to yield a normalizable zero mode. We propose a Stueckelberg-like geometrical coupling that non-minimally couples the fields to the torsion scalar and boundary term. To set up our braneworld models, we use the first-order formalism in which two kinds of superpotential are taken: sine-Gordon and 
-deformed. The geometrical coupling is used to produce a localized zero mode. Moreover, we analyze the massive spectrum for both fields and obtain possible resonant massive modes. Furthermore, we do not find tachyonic modes leading to a consistent thick brane.
© The Author(s) 2023
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