Generalized non-minimal couplings in Randall-Sundrum scenarios

Abstract

The Geometrical Localization mechanism in Randall-sundrum (RS) scenarios is extended by considering the coupling between a quadratic mass term and geometrical tensors. Since the quadratic term is symmetric, tensors with two symmetric indices have to be taken into account. These are the Ricci and the Einstein tensors. For the Ricci tensor it is shown that a localized zero mode exists while that is not possible for the Einstein tensor. It is already known that the Ricci scalar generates a localized solution but the metrics do not. Therefore, it can be conclude that divergenceless tensors do not localize the zero mode of gauge fields. The result is valid for any warp factor recovering the RS metrics at the boundaries, and therefore is valid for RS I and II models. We also compute resonances for all couplings. These are calculated using the transfer matrix method. The cases 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. We find that, for all cases considered, geometrical coupling does not generate resonances. This enforces similar results for the coupling with the Ricci scalar and points to the existence of some unidentified fundamental structure of these couplings.

Typos corrected, 25 pages

References in corpus (16)

• Fermion Localization and Resonances on A de Sitter Thick Brane
• Scalar fields, bent branes, and RG flow
• Gauge Field Localization on the Brane Through Geometrical Coupling
• Solutions to the problem of ELKO spinor localization in brane models
• 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
• Yang-Mills Localization in Warped Space
• A Transfer Matrix Method for Resonances in Randall-Sundrum Models III: An analytical comparison
• Photon mass as a probe to extra dimensions
• Non-minimal couplings in Randall-Sundrum Scenarios
• Is Thick Brane Model Consistent with the Recent Observations?
• Comment on "Localization of 5D Elko Spinors on Minkowski Branes"
• Gauge Field Emergence from Kalb-Ramond Localization
• Massive $p$-form trapping as a $p$-form on a brane
• Does Geometric Coupling Generates Resonances?
• Analytical solutions for fermions on a thick brane with a piecewise and smooth warp factor

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