Exploratory applications of the Fr\"ohlich-Morchio-Strocchi mechanism in quantum gravity

TL;DR

This paper explores the use of the Fr"ohlich-Morchio-Strocchi mechanism to analyze non-perturbative bound states in a diffeomorphism-invariant quantum gravity framework, focusing on composite operators like geon propagators and black-hole-particle vertices.

Contribution

It applies the Fr"ohlich-Morchio-Strocchi mechanism to quantum gravity, providing a novel analytical approach to study bound states in a diffeomorphism-invariant setting.

Findings

Analysis of geon propagators

Evaluation of black-hole-particle vertices

Demonstration of the mechanism's applicability in quantum gravity

Abstract

A manifestly diffeomorphism-invariant approach to canonical quantum gravity requires to use composite operators. These can be considered to be bound states of matter and/or gravitons, intrinsically non-perturbative objects. An analytical approach to determine the properties of such bound states could be the Fr\"ohlich-Morchio-Strocchi mechanism. We explore the necessary technology by applying it to various $n$-point functions, including geon propagators and black-hole-particle vertices.