Euclidean Correlation Functions in Quantum Gravity

Fuente: arXiv
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Main Authors: Laiho, Jack, Ratliff, Kenny
Format: Preprint
Published: 2025
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author Laiho, Jack
Ratliff, Kenny
author_facet Laiho, Jack
Ratliff, Kenny
contents We calculate Euclidean correlation functions through next-to-leading order in the low energy effective theory of gravity. We focus on correlation functions of curvature and volume operators, calculating these functions through one-loop order. We show that quantum fluctuations of the background spacetime must be taken into account in order to obtain gauge invariant expressions, and we point out a subtlety associated with the analytic continuation of the conformal mode. Our final expressions for the correlation functions involve only Newton's constant and the source-sink separation, and they are a universal prediction of the low energy effective theory. Thus, they serve as a useful point of comparison for nonperturbative lattice formulations of gravity.
format Preprint
id arxiv_https___arxiv_org_abs_2510_11888
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Euclidean Correlation Functions in Quantum Gravity
Laiho, Jack
Ratliff, Kenny
High Energy Physics - Theory
We calculate Euclidean correlation functions through next-to-leading order in the low energy effective theory of gravity. We focus on correlation functions of curvature and volume operators, calculating these functions through one-loop order. We show that quantum fluctuations of the background spacetime must be taken into account in order to obtain gauge invariant expressions, and we point out a subtlety associated with the analytic continuation of the conformal mode. Our final expressions for the correlation functions involve only Newton's constant and the source-sink separation, and they are a universal prediction of the low energy effective theory. Thus, they serve as a useful point of comparison for nonperturbative lattice formulations of gravity.
title Euclidean Correlation Functions in Quantum Gravity
topic High Energy Physics - Theory
url https://arxiv.org/abs/2510.11888