Modulus stabilization via non-minimal coupling

TL;DR

This paper introduces a mechanism using a nonminimally coupled scalar field to stabilize the size of extra dimensions in the Randall-Sundrum I model, avoiding the need for self-interactions.

Contribution

It presents a novel approach to modulus stabilization through a massless scalar field with nonminimal coupling, providing a potential that determines the extra dimension size.

Findings

Potential minimum yields correct compactification scale

Stabilization achieved without scalar self-interactions

Small coupling values effectively set the extra dimension size

Abstract

We propose a massless nonminimally coupled scalar field as a mechanism for stabilizing the size of the extradimension in the Randall-Sundrum I scenario. Without needing to introduce self interactions terms we obtain a potential for the modulus field that sets the size of the fifth dimension. The minumum of this potential yields appropriate values of the compactification scale for small values of the coupling $\xi$.