Relation between polymer and Fock excitations

TL;DR

This paper develops a framework to connect background independent quantum gravity with low-energy perturbative field theory, using Minkowskian Fock states within a background independent setting, initially illustrated with a U(1) gauge example.

Contribution

It introduces a method to analyze semi-classical states in background independent quantum gravity, extendable from U(1) to full general relativity.

Findings

Locates and analyzes Minkowskian Fock states in a background independent framework.

Provides a formulation that can be extended to full general relativity.

Bridges the gap between non-perturbative quantum gravity and perturbative field theory.

Abstract

To bridge the gap between background independent, non-perturbative quantum gravity and low energy physics described by perturbative field theory in Minkowski space-time, Minkowskian Fock states are located, analyzed and used in the background independent framework. This approach to the analysis of semi-classical issues is motivated by recent results of Varadarajan. As in that work, we use the simpler U(1) example to illustrate our constructions but, in contrast to that work, formulate the theory in such a way that it can be extended to full general relativity.