LQG propagator from the new spin foams

TL;DR

This paper calculates metric correlations in loop quantum gravity using new spin foam models, comparing the results to the perturbative graviton propagator, at leading orders in vertex and spin expansions.

Contribution

It introduces a method to compute the LQG propagator with new spin foam models at leading orders, bridging non-perturbative and perturbative approaches.

Findings

Metric correlations match the graviton propagator at leading order

Results support the consistency of new spin foam models with perturbative gravity

Provides a framework for further non-perturbative quantum gravity calculations

Abstract

We compute metric correlations in loop quantum gravity with the dynamics defined by the new spin foam models. The analysis is done at the lowest order in a vertex expansion and at the leading order in a large spin expansion. The result is compared to the graviton propagator of perturbative quantum gravity.