Belchior, F. M., Moreira, A. R. P., Maluf, R. V., & Almeida, C. A. S. (2023). Localization of abelian gauge fields with Stueckelberg-like geometrical coupling on f(T, B)-thick brane. Eur. Phys. J. C, 83(5), 388–14pp.
Abstract: 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 f(4)-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.
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