Localization of matters coupled nonminimally to gravity on scalar thick branes

TL;DR

This paper investigates how matter fields coupled nonminimally to gravity can be localized on scalar thick branes, analyzing different field types and coupling scenarios to understand their localization properties.

Contribution

It provides a detailed analysis of matter field localization in scalar thick brane models with nonminimal coupling, highlighting differences between massless and massive modes.

Findings

Massless and massive scalar fields are localized on the brane.

Nonminimally coupled vector fields have localized modes similar to scalar fields.

Localization of spinor fields varies between models, with massive modes localized in one model and only massless in another.

Abstract

We are investigating the localization of matter that interacts nonminimally with gravity within thick braneworld models generated by a scalar bulk. Our review focuses on two models of scalar thick branes. The natural mechanism is used to analyze the localization of the fields. Without losing the point of field localization, we examine matter field localizations by considering the asymptotic behavior of the warp function on z towards infinity. Both massless and massive modes of the nonminimally coupled scalar field are localized on the brane in both models. When the coupling is minimal, the scalar field is localized for the massless mode. A nonminimally coupled vector field behaves similarly to the nonminimally coupled scalar field, the massless and massive modes in both models are localized. For a nonminimally coupled spinor field, in model 1, we observe localization of the spinor for massive mode, while in model 2, only the massless spinor field is localized.