Does Geometric Coupling Generates Resonances?

TL;DR

This paper investigates how geometric coupling affects the generation of resonances in p-form fields within Randall-Sundrum models, finding that such coupling does not produce resonances for reduced p-forms across various brane configurations.

Contribution

It introduces a study of resonance behavior in p-form fields with geometric coupling in RS models, including smooth and delta-like branes, using the transfer matrix method.

Findings

Geometric coupling does not generate resonances for reduced p-forms.

Resonance patterns depend on brane thickness and type.

The transfer matrix method effectively analyzes resonance phenomena.

Abstract

Geometrical coupling in a co-dimensional one Randall-Sundrum scenario (RS) is used to study resonances of $p-$form fields. The resonances are calculated using the transfer matrix method. The model studied consider the standard RS with delta-like branes, and branes generated by kinks and domain-wall as well. The parameters are changed to control the thickness of the smooth brane. With this a very interesting pattern is found for the resonances. The geometrical coupling does not generate resonances for the reduced $p-$form in all cases considered.