Graviton Propagators, Brane Bending and Bending of Light in Theories with Quasi-Localized Gravity

TL;DR

This paper derives the graviton propagator in quasi-localized gravity models, showing that brane bending cancels extra polarization effects, thus reproducing Einstein's gravity predictions at intermediate scales.

Contribution

It provides a detailed derivation of the graviton propagator in models with quasi-localized gravity and demonstrates the cancellation of extra polarization effects by brane bending.

Findings

Extra polarization effects are canceled by brane bending.

Einstein's gravity predictions are recovered at intermediate scales.

Resonance decay into the extra dimension is characterized.

Abstract

We derive the graviton propagator on the brane for theories with quasi-localized gravity. In these models the ordinary 4D graviton is replaced by a resonance in the spectrum of massive Kaluza-Klein modes, which can decay into the extra dimension. We find that the effects of the extra polarization in the massive graviton propagator is exactly cancelled by the bending of the brane due to the matter sources, up to small corrections proportional to the width of the resonance. Thus at intermediate scales the classic predictions of Einstein's gravity are reproduced in these models to arbitrary precision.