A Geometric Approach to Modulus Stabilization

TL;DR

This paper proposes a purely geometric method for modulus stabilization in the Randall-Sundrum scenario, relying on quantum corrections in gravity rather than ad hoc fields, offering a new perspective on hierarchy problem solutions.

Contribution

It introduces a novel geometrodynamical approach to modulus stabilization using quantum gravity corrections, avoiding the need for extra stabilizing fields.

Findings

Quantum corrections can stabilize the modulus without additional fields

The required correction size aligns with phenomenological constraints

Provides a new geometric perspective on hierarchy problem solutions

Abstract

Modulus stabilization, a must for explaining the hierarchy problem in the context of the Randall-Sundrum (RS) scenario, is traditionally achieved through the introduction of an extra field with {\em ad hoc} couplings. We point out that the stabilization can, instead, be achieved in a purely geometrodynamical way, with plausible quantum corrections in the gravity sector playing the key role. The size of the corrections that lead to acceptable phenomenology is also delineated.