Localization of a system of vector and scalar fields in a modified Randall-Sundrum model

Abstract

We study the localization properties of fields in a system of vector and scalar fields in a modified Randall-Sundrum model introduced in ref [1]. The fields are mutually coupled through the gauge mechanism. The metric of the model is conformally flat, has an exponential warp factor, and is physically distinct to the original Randall-Sundrum metric model. We derive general conditions for field localization for this system of matter fields and solve the solution for field equation corresponding to extra dimension. We obtain that the warp factor should decrease with the warp factor parameter k=1. Each type of fields solely is able to localize but all fields cannot.We analyze from the equation motions of scalar fields and vector fields to find the solution of extra dimension. We obtain that this solution for scalar and vector fields differ in general. We derive the localization properties for the both cases, massless and massive scalar fields. We then compare the properties with that as shown in ref [1] for vector and scalar fields which are not coupled one another.