Aspects of Localized Gravity Around the Soft Minima

TL;DR

This paper investigates how gravity can be localized around soft minima in extra-dimensional models, emphasizing the importance of zero-mass graviton normalizability for effective four-dimensional gravity.

Contribution

It analyzes gravity localization near soft minima in extra dimensions, highlighting the role of zero-mass graviton normalizability in non-compact models.

Findings

Gravity localization occurs around local minima of the potential.

Normalizability of the zero-mass graviton is essential for 4D gravity.

Soft minima allow for thick brane configurations.

Abstract

n-Dimensional pure gravity theory can be obtained as the effective theory of an n+1 model (with non-compact extra dimension) where general n+1 reparametrization invariance is explicitly broken in the extra dimension. As was pointed out in the literature, a necessary consistency condition for having a non-vanishing four dimensional Newton constant is the normalizability in the extra dimension of the zero mass graviton. This, in turn, implies that gravity localization is produced around the local minima of a potential in the extra dimension. We study gravity in the neighborhood of the soft ("thick") local minima.