A brane in five-dimensional Minkowski space

TL;DR

This paper investigates how gravity propagates in a five-dimensional Minkowski space with a four-dimensional brane, revealing a solution that mimics four-dimensional gravity at low energies and five-dimensional effects at high energies.

Contribution

It demonstrates the existence of a specific solution leading to four-dimensional gravity behavior at low energies, clarifying the physical significance of different propagator solutions.

Findings

Gravity behaves four-dimensionally at low energies

High-energy corrections reveal five-dimensional effects

Different solutions correspond to distinct physical systems

Abstract

We discuss the propagation of gravity in five-dimensional Minkowski space in the presence of a four-dimensional brane. We show that there exists a solution to the wave equation that leads to a propagator exhibiting four-dimensional behavior at low energies (long distances) with five-dimensional effects showing up as corrections at high energies (short distances). We compare our results with propagators derived in previous analyses exhibiting five-dimensional behavior at low energies. We show that different solutions correspond to different physical systems.