Kalb–Ramond field localization in sine-Gordon braneworld models

Abstract

In this paper, we investigate Kalb–Ramond field localization in two types of five-dimensional braneworld models given by sine-Gordon potentials. The sine-Gordon (SG) and double sine-Gordon (DSG) branes are generated by a real scalar field coupled to gravity minimally. In both scenarios, we employ two localization mechanisms. One is the well-known dilaton coupling and the other is based on a five-dimensional Stueckelberg-like action. With two mechanisms, we find that the massless zero mode of Kalb–Ramond field is localized on the SG and DSG branes. Also, it is shown that both the mechanisms can result in a volcano-like potential of the Kalb–Ramond massive modes. Furthermore, we study the effects of the dilaton coupling constant on the mass spectrum of the Kalb–Ramond field.