Gauge field localization in branes: coupling to a scalar function and coupling to torsion in teleparallel gravity scenario

This paper is aimed at investigating the behavior of gauge vector and tensor fields on thick brane in f(T) gravity. This thick brane is not capable of providing a normalizable zero mode for both gauge and Kalb Ramond fields. To overcome this problem, we propose two distinct types of gauge-invariant couplings. In the first coupling, the fields are minimally coupled to the scalar field responsible for generating the thick brane. In the second coupling, we use the geometric coupling in which the fields are non-minimally coupled to torsion. Another issue that we investigate is resonant modes, which allow us to understand the massive spectrum of fields. Indeed we note that an internal structure appears for the Kalb-Ramond massive solutions and both couplings show resonant modes of the massive spectrum.

Automated summary

This paper investigates the behavior of gauge vector and tensor fields on thick brane in f(T) gravity. The thick brane does not provide a normalizable zero mode for gauge and Kalb-Ramond fields. To solve this, two types of gauge-invariant couplings are proposed. Resonant modes are also studied to understand the massive spectrum of fields.