Gauge field localization on brane worlds

TL;DR

This paper investigates how spacetime curvature and brane thickness influence gauge field localization, revealing constraints on brane tension and conditions for recovering four-dimensional electromagnetism in brane world models.

Contribution

It analyzes gauge field localization in warped and flat brane geometries, introducing new bounds on brane tension and conditions for electromagnetism recovery considering brane thickness.

Findings

Infrared and ultraviolet behavior of electromagnetic propagator are affected by warped geometry.

Stricter bounds on brane tension than those from 4D gravity are derived.

Electromagnetism is recovered within specific distance scales related to brane properties.

Abstract

We consider the effects of spacetime curvature and brane thickness on the localization of gauge fields on a brane via kinetic terms induced by localized fermions. We find that in a warped geometry with and infinitely thin brane, both the infrared and the ultraviolet behavior of the electromagnetic propagator are affected, providing a more stringent bound on the brane's tension than that coming from the requirement of four-dimensional gravity on the brane. On the other hand, for a thick wall in a flat spacetime, where the fermions are localized by means of a Yukawa coupling, we find that 4-dimensional electromagnetism is recovered in a region bounded from above by the same critical distance appearing in the thin case, but also from below by a new scale related to the brane's thickness and the electromagnetic couplings.