Searching for a Modification of a Conformally Flat Metric in the Five-Dimensional Braneworld Model that Localizes Scalar and Vector Fields
Muhammad Taufiqur Rohman, Triyanta

Theoretical High Energy Physics and Instrumentation Division, Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung

Abstract

A modification of the Randall-Sundrum metric model in the form of conformally flat metric was proposed some years ago. The proposed model shows better localization properties than the original Randall-Sundrum model. However, this new model still does not meet the expectation that all fundamental fields can be localized for one type of warp factor, e.g. for a decreasing warp factor. In this research we propose to add a factor ( f(r) ) in the extra coordinate part of the above modified Randall-Sundrum metric and derive conditions for localization for scalar and vector fields. ( r ) is the extra coordinate. We then look for some functions ( f(r) ) that fulfill the localization conditions for both scalar and vector fields. Examples of the function ( f(r) ) under investigation are ( exp(Ar) ), ( exp(Ar + Br^2) ), ( exp(A/r) ), ( Ar ), ( Ar + Br^2 ), and ( sinh Ar ). When the expected function is found we then check whether our model will also localize spinor fields or not.

Keywords: Braneworld, Randall-Sundrum model, modified Randall-Sundrum, field localization

Topic: Theoretical High Energy Physics

Link: https://ifory.id/abstract-plain/dqeRcNJFY4Dv

Web Format | Corresponding Author (Muhammad Taufiqur Rohman)