Multiresonance modes in sine-Gordon brane models

TL;DR

This paper investigates the localization and resonance phenomena of vector gauge fields in thick brane models generated by scalar fields with sine-Gordon potentials, revealing multiple resonant modes and Coulomb law corrections.

Contribution

It introduces a double sine-Gordon potential to generate branes with internal structure and studies the resulting gauge field spectrum and Coulomb law modifications.

Findings

Localized zero mode of gauge field confirmed.

Existence of resonant massive modes in double sine-Gordon scenario.

Coulomb law corrections depend on the dilaton parameter.

Abstract

In this work, we study the localization of the vector gauge field in two five-dimensional braneworlds generated by scalar fields coupled to gravity. The sine-Gordon like potentials are employed to produce different thick brane setups. A zero mode localized is obtained, and we show the existence of reverberations with the wave solutions indicating a quasi-localized massive mode. More interesting results are achieved when we propose a double sine-Gordon potential to the scalar field. The resulting thick brane shows a more detailed topology with the presence of an internal structure composed by two kinks. The massive spectrum of the gauge field is revalued on this scenario revealing the existence of various resonant modes. Furthermore, we compute the corrections to Coulomb law coming from these massive KK vector modes in these thick scenarios, where is concluded that the dilaton parameter regulates these corrections.