A Critical Analysis of Goldberger-Wise Stabilization in Randall-Sundrum Scenario

TL;DR

This paper re-examines the Goldberger-Wise stabilization mechanism in the Randall-Sundrum model using exact analysis, revealing new features and closely spaced potential minima and maxima without relying on previous approximations.

Contribution

It provides an exact calculation of the stabilization condition, challenging previous approximations and uncovering new aspects of the potential landscape.

Findings

Existence of closely spaced minima and maxima in the potential.

New features in stabilization conditions revealed by exact analysis.

Challenges to previous approximation-based results.

Abstract

The Goldberger-Wise mechanism of stabilizing modulus in the Randall-Sundrum braneworld,by introducing a bulk scalar field with quartic interaction terms localized at the 3-branes has been extremely popular as a stabilizing mechanism when the back-reaction of the scalar field on the geometry is negligibly small. In this note we re-examine the mechanism by an exact analysis without resorting to the approximations adopted by Goldberger and Wise. An exact calculation of the stabilization condition indicates the existence of closely spaced minimum and a maximum for the potential and also brings out some new features involved in the context of stabilization of such braneworld models.