Resonances of Kalb-Ramond field on symmetric and asymmetric thick branes

TL;DR

This paper studies how the Kalb-Ramond field can be localized on symmetric and asymmetric thick branes generated by scalar fields, identifying resonant modes and how asymmetry affects their number.

Contribution

It introduces a coupling mechanism for localizing the Kalb-Ramond field and compares resonance detection methods on symmetric and asymmetric branes, revealing the impact of asymmetry.

Findings

Resonant modes exist for the Kalb-Ramond field on thick branes.

The number of resonances decreases as brane asymmetry increases.

Both probability and transfer matrix methods yield consistent resonance results.

Abstract

In this paper, we investigate the localization of the Kalb-Ramond field on symmetric and asymmetric thick branes, which are generated by a background scalar field. In order to localize the Kalb-Ramond field, we introduce a coupling with the background scalar field, and find that there exist some Kaluza-Klein resonant modes. For the case of symmetric brane, we seek the resonances by using the relative probability method and transfer matrix method, and obtain the same result for the two methods. For the asymmetric case, we use the transfer matrix method. We find that the number of resonances will decrease with the increase of the asymmetry.