Localization and mass spectra of various matter fields on scalar-tensor brane

TL;DR

This paper studies how different matter fields can be localized on a scalar-tensor brane and compares their mass spectra across two solutions, revealing differences that imply the solutions are physically distinct.

Contribution

It investigates localization and mass spectra of various matter fields on a scalar-tensor brane, highlighting differences between two brane solutions.

Findings

Zero modes of matter fields can be localized on the positive tension brane.

Mass spectra differ between the two brane solutions.

The two solutions are not physically equivalent.

Abstract

Recently, a new scalar-tensor braneworld model was presented in [Phys. Rev. \textbf{D 86} (2012) 127502]. It not only solves the gauge hierarchy problem but also reproduces a correct Friedmann-like equation on the brane. In this new model, there are two different brane solutions, for which the mass spectra of gravity on the brane are the same. In this paper, we investigate localization and mass spectra of various bulk matter fields (i.e., scalar, vector, Kalb-Ramond, and fermion fields) on the brane. It is shown that the zero modes of all the matter fields can be localized on the positive tension brane under some conditions, and the mass spectra of each kind of bulk matter field for the two brane solutions are different, which implies that the two brane solutions are not physically equivalent.