Hierarchy Problem, Dilatonic Fifth Force, and Origin of Mass

TL;DR

This paper explores how the dilaton's mass, influenced by higher-dimensional geometry, can explain the origin of mass, address the hierarchy problem, and is constrained by cosmological considerations.

Contribution

It demonstrates the connection between internal space curvature and dilaton mass, providing a novel approach to the hierarchy problem and mass origin in unified theories.

Findings

Dilaton mass depends on internal space curvature.

Cosmology constrains dilaton mass to be consistent with large internal space scale.

Proposes a link between extra dimensions and mass generation mechanisms.

Abstract

Based on the fact that the scalar curvature of the internal space determines the mass of the dilaton in higher-dimensional unified theories, we show how the dilaton mass can explain the origin of mass and resolve the hierarchy problem. Moreover, we show that cosmology puts a strong constraint on dilaton mass, and requires the scale of the internal space to be larger than $10^{-9} m$.