On Relation between Two Models of Gauge Field Localization on a Brane

TL;DR

This paper explores the connection between two recent models for localizing gauge fields on a brane, revealing their close relationship through a specific transformation of the gauge field.

Contribution

It demonstrates the equivalence between the bulk/boundary mass term model and the dilaton coupling model via a gauge field transformation.

Findings

The two models are closely related.

A transformation links the models.

Insights into gauge field localization mechanisms.

Abstract

We discuss the relation between two different models which are recently proposed as the model of localizing bulk gauge fields on a brane. In the former model, the localization of gauge field is achieved by adding both bulk and boundary mass terms while in the latter, it is done by taking into consideration the coupling between the gauge field and the dilaton field (this model is also regarded as the gauge theory with nontrivial dielectric ``constant''). We make a certain transformation for the gauge field in the latter Lagrangian. As the result, we find those two models are closely related to each other.