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

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 ${\varphi }^4$-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.

28 pages, 7 captioned figures, references added, Enhanced version to appear in European Physical Journal C

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Cited by in corpus (1)

• On the asymmetric non-canonical braneworld in five dimensions