Massive $p$-form trapping as a $p$-form on a brane

Abstract

It is shown here that the zero mode of any form field can be trapped to the brane using the model proposed by Ghoroku and Nakamura. We start proven that the equations of motion can be obtained without splitting the field in even and odd parts. The massive and tachyonic cases are studied revealing that this mechanism only traps the zero mode. The result is then generalized to thick branes. In this scenario, the use of a delta like interaction of the quadratic term is necessary leading to a "mixed" potential with singular and smooth contributions. It is also shown that all forms produces an effective theory in the brane without gauge fixing. The existence of resonances with the transfer matrix method is then discussed. With this we analyze the resonances and look for peaks indicating the existence of unstable modes. Curiously no resonances are found in opposition of other models in the literature. Finally we find analytical solutions for arbitrary $p-$forms when a specific kind of smooth scenario is considered.

26 pages, 5 figures, typos corrected, references added

References in corpus (10)

• 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
• A Transfer Matrix Method for Resonances in Randall-Sundrum Models III: An analytical comparison
• Bulk Antisymmetric tensor fields coupled to a dilaton in a Randall-Sundrum model
• Is Thick Brane Model Consistent with the Recent Observations?
• Gauge Field Emergence from Kalb-Ramond Localization