Localization of scalar fields on self-gravitating thick branes

TL;DR

This paper investigates how scalar fields can be localized on thick branes in a five-dimensional anti-de Sitter space, focusing on the effects of symmetry breaking and gravity interactions.

Contribution

It introduces a model with two scalar fields and analyzes their localization properties on thick branes considering symmetry breaking and gravitational effects.

Findings

Scalar modes can be quasi-localized on thick branes.

Symmetry breaking influences the localization conditions.

Gravity interactions affect the scalar field spectrum.

Abstract

The model of a domain wall ("thick" brane) in noncompact five-dimensional space-time is considered with geometries of $AdS_5$ type generated by self-interacting scalar matter. The scalar matter is composed of two fields with O(2) symmetric self interaction. One of them is mixed with gravity scalar modes and plays role of the brane formation mode (due to a kink background) and another one is of a Higgs-field type. The interplay between soft breaking of O(2) symmetry and gravity influence is thoroughly investigated around the critical point of spontaneous $\tau$ symmetry breaking when the v.e.v. of the Higgs-type scalar field occurs. The possibility of (quasi)localization of scalar modes on such thick branes is examined.