Hierarchy problem and the cosmological constant in a five-dimensional Brans-Dicke brane world model

TL;DR

This paper presents a five-dimensional Brans-Dicke brane world model that addresses the hierarchy problem and the smallness of the cosmological constant through a specific scalar field potential and a novel stabilization mechanism.

Contribution

It introduces a new solution with dS_{4} branes in Brans-Dicke theory, demonstrating how parameter choices can yield a small effective cosmological constant and solve the hierarchy problem.

Findings

Effective cosmological constant can be made small on the brane

Hierarchy problem of gravity is addressed within the model

A new stabilization mechanism using auxiliary fields is proposed

Abstract

We discuss a new solution, admitting the existence of dS_{4} branes, in five-dimensional Brans-Dicke theory. It is shown that, due to a special form of a bulk scalar field potential, for certain values of the model parameters the effective cosmological constant can be made small on the brane, where the hierarchy problem of gravitational interaction is solved. We also discuss new stabilization mechanism which is based on the use of auxiliary fields.