Localization of Interacting Fields in Five-Dimensional Braneworld Models

TL;DR

This paper investigates how various fundamental fields can be localized on branes in five-dimensional Randall-Sundrum models, finding that the modified RS model better supports field localization than the original.

Contribution

It derives localization conditions and solutions for coupled fields in RS and MRS models, demonstrating the improved localization properties of the MRS model.

Findings

Not all fields localize in the original RS model.

All considered fields localize in the MRS model with restrictions.

MRS model shows superior field localizability compared to RS.

Abstract

We study localization properties of fundamental fields which are coupled to one another through the gauge mechanism both in the original Randall-Sundrum (RS) and in the modified Randall-Sundrum (MRS) braneworld models: scalar-vector, vector-vector, and spinor-vector configuration systems. For this purpose we derive conditions of localization, namely the finiteness of integrals over the extra coordinate in the action of the system considered. We also derive field equations for each of the systems and then obtain their solutions corresponding to the extra dimension by a separation of variable method for every field involved in each system. We then insert the obtained solutions into the conditions of localization to seek whether or not the solutions are in accordance with the conditions of localization. We obtain that not all of the configuration systems considered are localizable on the brane of the original RS model while, on the contrary, they are localizable on the MRS braneworld model with some restrictions. In terms of field localizability on the brane, this result shows that the MRS model is much better than the original RS model.