New localization method of U(1) gauge vector field on flat branes in (asymptotic) $AdS_{5}$ spacetime

TL;DR

This paper introduces a modified five-dimensional action with a curvature-dependent mass term to successfully localize U(1) gauge fields on flat branes within asymptotic AdS_5 spacetime, overcoming previous localization challenges.

Contribution

It proposes a new localization mechanism for U(1) gauge fields on flat branes using a dynamical mass term proportional to scalar curvature, applicable to both finite and infinite extra dimensions.

Findings

Zero mode of gauge field is localizable in asymptotic AdS_5 spacetime.

Massive tachyonic modes are effectively excluded.

Method works for both finite and infinite extra dimensions.

Abstract

It is well known that the U(1) gauge vector field, with the standard five-dimensional (5D) action, cannot be localized on Randall-Sundrum-like braneworlds with an infinite extra dimension. In this paper, we propose a modified 5D action to localize U(1) gauge vector field on flat branes with an infinite or finite extra dimension. The localization method is realized by adding a dynamical mass term into the standard 5D action of the vector field, which is proportional to the 5D scalar curvature. It is shown that the vector zero mode is localizable if the 5D spacetime is (asymptotic) $AdS_{5}$. Moreover, the massive tachyonic modes can be excluded.