A Transfer Matrix Method for Resonances in Randall-Sundrum Models

TL;DR

This paper introduces a numerical transfer matrix method to analyze resonances in Randall-Sundrum models, revealing complex resonance structures across various field types and model parameters.

Contribution

It develops a generalized transfer matrix approach for studying resonances in Randall-Sundrum scenarios, extending previous methods to multiple field types and models.

Findings

Rich resonance structures depend on model parameters

Method applicable to gauge, gravity, and spinor fields

Resonance patterns vary with different model configurations

Abstract

In this paper we discuss in detail a numerical method to study resonances in membranes generated by domain walls in Randall-Sundrum-like scenarios. It is based on similar works to understand the quantum mechanics of electrons subject to the potential barriers that exist in heterostructures in semiconductors. This method was used recently to study resonances of a three form field and lately generalized to arbitrary forms. We apply it to a lot of important models, namely those that contain the Gauge, Gravity and Spinor fields. In many cases we find a rich structure of resonances which depends on the parameters involved.