6D thick branes from interacting scalar fields

TL;DR

This paper constructs a six-dimensional thick brane using two scalar fields, solving the coupled field equations numerically, and demonstrates the scalar fields' role in trapping various test fields without manual energy-momentum input.

Contribution

It introduces a numerical 6D thick brane model with scalar fields that naturally generate the energy-momentum tensor and facilitate field trapping, improving upon previous analytic solutions.

Findings

Numerical solutions for 6D thick branes with scalar fields

Scalar fields generate the energy-momentum tensor dynamically

Scalar fields trap test fields of various spins

Abstract

A thick brane in six dimensions is constructed using two scalar fields. The field equations for 6D gravity plus the scalar fields are solved numerically. This thick brane solution shares some features with a previously studied analytic solutions, but has the advantage that the energy-momentum tensor which forms the thick brane comes from the scalar fields rather than being put in by hand. Additionally the scalar fields which form the brane also provide a universal, non-gravitational trapping mechanism for test fields of various spins.