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arXiv · 2302.02938

Localization of abelian gauge fields with Stueckelberg-like geometrical coupling on $f(T,B)$-thick brane

F. M. Belchior·A. R. P. Moreira·R. V. Maluf·C. A. S. Almeida
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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 $\phi^{4}$-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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F. M. Belchior, A. R. P. Moreira, R. V. Maluf, C. A. S. Almeida. 2023-02-06. Localization of abelian gauge fields with Stueckelberg-like geometrical coupling on $f(T,B)$-thick brane. https://doi.org/10.1140/epjc%2Fs10052-023-11567-y

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