Decomposing Quantum Fields on Branes

TL;DR

This paper introduces a method to decompose quantum fields on warped manifolds into lower-dimensional fields, revealing holographic-like relationships and mechanisms for mass spectrum generation in brane-world scenarios.

Contribution

It presents a novel decomposition technique for quantum fields on warped manifolds, applicable to various spacetimes, and connects to holography and mass spectrum generation in brane models.

Findings

Decomposition of two-point functions into lower-dimensional fields.

Application to Minkowski, de Sitter, and anti-de Sitter spaces.

Mechanism for generating mass spectra in brane-world models.

Abstract

We provide a method to decompose the two-point function of a quantum field on a warped manifold in terms of fields living on a lower-dimensional manifold. We discuss explicit applications to Minkowski, de Sitter and anti-de Sitter quantum field theories. This decomposition presents a remarkable analogy with the holography principle, in the sense that physics in d+1 dimensions may be encoded into the physics in one dimension less. Moreover in a context a la Randall--Sundrum, the method outlined here allows a mechanism of generation of mass-spectra in the 3-brane (or more generally a d-1-brane).