Antisymmetric Tensor Fields in Randall Sundrum Thick Branes

TL;DR

This paper investigates the localization and resonance phenomena of three-form fields in Randall-Sundrum thick branes with dilaton coupling, revealing that zero-mode localization depends on the coupling and that resonance structures vary with parameters.

Contribution

It introduces a numerical analysis of resonance structures for three-form fields in deformed Randall-Sundrum models considering dilaton effects, highlighting the dependence on coupling constants.

Findings

Zero-mode localization occurs only within specific dilaton coupling ranges.

Resonance peaks are highly sensitive to the coupling constant and model parameters.

Rich resonance structures emerge for certain parameter choices, indicating complex field behavior.

Abstract

In this article we study the issue of localization of the three-form field in a Randall-Sundrum-like scenario. We simulate our membrane by kinks embedded in D=5, describing the usual case (not deformed) and new models coming from a specific deformation procedure. The gravitational background regarded includes the dilaton contribution. We show that we can only localize the zero-mode of this field for a specific range of the dilaton coupling, even in the deformed case. A study about resonances is presented. We use a numerical approach for calculations of the transmission coefficients associated to the quantum mechanical problem. This gives a clear description of the physics involved in the model. We find in this way that the appearance of resonances is strongly dependent on the coupling constant. We study the cases $p=1,3$ and 5 for $\alpha=-1.75$ and $\alpha=-20$. The first value of $\alpha$ give us one resonance peak for $p=1$ and no resonances for $p=3,5$. The second value of $\alpha$ give us a very rich structure of resonances, with number deppending on the value of $p$.