Non-locality as an essential feature of brane worlds

TL;DR

This paper investigates the role of non-locality in brane world models with a bulk scalar field, showing that non-local effects are fundamental features rather than mere corrections, and discusses how Einstein gravity is recovered at low energies.

Contribution

It demonstrates that non-locality is an essential characteristic of brane worlds and analyzes the implications for gravity and higher derivative corrections.

Findings

Einstein gravity is recovered in the low energy limit.

High-energy corrections can be represented by higher derivative terms.

Non-locality is a fundamental feature of brane world scenarios.

Abstract

Weak gravity in the brane world scenario with a scalar field in the bulk between two end-of-the-world branes is investigated by using the doubly gauge invariant formalism. We review the result that Einstein gravity is restored in the low energy limit and that high-energy corrections to Einstein gravity can be mimicked by higher derivative terms. After that, it is argued that non-locality is one of essential features of brane worlds.