A Transfer Matrix Method for Resonances in Randall-Sundrum Models

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.

25 pages, 17 figures

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• Universal Aspects of $U(1)$ Gauge Field Localization on Branes in $D$-dimensions
• Gauge Field Emergence from Kalb-Ramond Localization
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• New Analytical Solutions for Bosonic Field Trapping in Thick Branes
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• Quantum Scalar Field in D-dimensional de Sitter Spacetimes
• Localization of Gravitino Field on Thin Branes
• Evolution of Fermion Resonance in Thick Brane
• Does Geometric Coupling Generates Resonances?
• Cosmologies of Multiple Spherical Brane-universe Model
• Universal Mass Scale for Bosonic Fields in Multi-Brane Worlds
• Universal Mass Scale for Bosonic Fields in Multi-Brane Worlds
• The End of the Road for Bulk Fields in Warped Randall-Sundrum Braneworlds