Localization of matter fields that interact with gravity in a non-minimal derivative coupling in the Randall-Sundrummodel

Abstract

In a brane-world model matter fields are assumed to localize on a (3 + 1)-dimensional brane imbedded in a higher dimensional space-time. However, this assumption is not always fulfilled. In fact, vector fields that couple minimally with gravity as well as matter fields that interact with gauge fields, in addition to gravity in a minimal coupling way are not localized on a brane in the five-dimensional Randall-Sundrum (RS) model [1, 2, 3]. In this paper we will report our analysis on localization properties in the RS brane-world model for the case of matter fields that interact with gravity in a non-minimal derivative coupling. By expressing matter fields as a multiplication of fields in a four-dimensional space-time and a function of the extra dimension coordinate we derive localization conditions and field equations in the function of the extra coordinate and solve the equation. The solution is then applied to analyze field localizations. We obtain that the massless scalar and spinor fields are localizable respectively on the RS brane for decreasing and increasing warp factor respectively.