A Transfer Matrix Method for Resonances in Randall-Sundrum Models III: An analytical comparison

Abstract

The transfer matrix method is used to analyze resonances in Randall-Sundrum models. Although it has successfully been used previously by us we provide here a comparison between the numerical and analytical models. To reach this we first find new exact solution for the scalar, gauge, Kalb-Ramond and $q-$form fields. Them we calculate numerically the resonances by the transfer matrix method and compare with the analytical result. For completeness, this is done for models with and without the dilaton coupling. The results show a perfect agreement between the analytical and numerical methods.

28 pages, 23 figures, minor corrections

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Cited by in corpus (24)

• Gauge Field Localization on the Brane Through Geometrical Coupling
• Solutions to the problem of ELKO spinor localization in brane models
• Resonance Mass Spectra of Gravity and Fermion on Bloch Branes
• Resonances of Kalb-Ramond field on symmetric and asymmetric thick branes
• Generalized non-minimal couplings in Randall-Sundrum scenarios
• Mass radius relation of compact stars in the braneworld
• Non-minimal coupling of fermion to the torsion in the modified teleparallel braneworld
• Spectrum Structure of Fermion on Bloch Branes with Two Scalar-fermion Couplings
• Generalized geometrical coupling for vector field localization on thick brane in asymptotic Anti-de Sitter spacetime
• $p-$forms non-minimally coupled to gravity in Randall-Sundrum scenarios
• Spinors Fields in Co-dimension One Braneworlds
• Gauge Field Emergence from Kalb-Ramond Localization
• New Analytical Solutions for Bosonic Field Trapping in Thick Branes
• Massive $p$-form trapping as a $p$-form on a brane
• Consistency Conditions for Fields Localization on Braneworlds
• Localization of a Model With U(1) Kinetic Gauge Mixing
• Does Geometric Coupling Generates Resonances?
• Cosmologies of Multiple Spherical Brane-universe Model
• Bosonic Fields in Crystal Manyfolds
• Hidden Conformal Symmetry of Smooth Braneworld Scenarios
• Universal Mass Scale for Bosonic Fields in Multi-Brane Worlds
• Universal Mass Scale for Bosonic Fields in Multi-Brane Worlds
• Analytical solutions for fermions on a thick brane with a piecewise and smooth warp factor
• The End of the Road for Bulk Fields in Warped Randall-Sundrum Braneworlds