Vacuum Expectation Value Profiles of the Bulk Scalar Field in the Generalized Randall-Sundrum Model

TL;DR

This paper studies how the vacuum expectation value profiles of a bulk scalar field vary in a generalized Randall-Sundrum model with different brane cosmological constants, revealing significant differences from the original model.

Contribution

It demonstrates the dependence of VEV profiles on brane cosmological constant and confirms the Goldberger-Wise mechanism's viability under nonzero boundary conditions.

Findings

VEV profiles depend on the brane cosmological constant.

Profiles differ significantly from the original Randall-Sundrum model.

Goldberger-Wise mechanism remains effective with nonzero boundary conditions.

Abstract

In the generalized Randall-Sundrum warped brane-world model the cosmological constant induced on the visible brane can be positive or negative. In this paper we investigate profiles of vacuum expectation value of the bulk scalar field under general Dirichlet andNeumann boundary conditions in the generalized warped brane-worldmodel.We showthat the VEVprofiles generally depend on the value of the brane cosmological constant. We find that the VEV profiles of the bulk scalar field for a visible brane with negative cosmological constant and positive tension are quite distinct fromthose of Randall-Sundrum model. In addition we show that the VEV profiles for a visible brane with large positive cosmological constant are also different from those of the Randall- Sundrum model.We also verify that Goldberger andWise mechanism can work under nonzero Dirichlet boundary conditions in the generalized Randall-Sundrum model.