A Transfer Matrix Method for Resonances in Randall-Sundrum Models III: An analytical comparison
arXiv:1207.3054 · doi:10.1007/JHEP01(2013)050
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 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
References in corpus (21)
- Braneworld Models of Scalar Fields with Generalized Dynamics
- Fermion localization and resonances on two-field thick branes
- Fermion Localization and Resonances on A de Sitter Thick Brane
- f(R)-Brane
- Gravity localization on thick branes: a numerical approach
- Domain wall brane in squared curvature gravity
- Fermion Resonances on Multi-field Thick Branes
- Fermion localization on a split brane
- Fermion localization on degenerate and critical branes
- Effects of the variation of mass on fermion localization and resonances on thick branes
- Gravity Trapping on a Finite Thickness Domain Wall: An Analytic Study
- Bulk antisymmetric tensor fields in a Randall-Sundrum model
- Fermion Resonances on a Thick Brane with a Piecewise Warp Factor
- Fermion localization on two-field thick branes
- Bouncing cosmology from Kalb-Ramond Braneworld
- Bulk Matters on a GRS-Inspired Braneworld
- Exact solutions for a Maxwell-Kalb-Ramond action with dilaton: Localization of massless and massive modes in a sine-Gordon brane-world
- Bulk Antisymmetric tensor fields coupled to a dilaton in a Randall-Sundrum model
- A Randall-Sundrum scenario with bulk dilaton and torsion
- Two-branes with variable tension model and the effective Newtonian constant
- Effect of the variation of mass on fermion localization on thick branes