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arXiv · 2510.11888

Euclidean Correlation Functions in Quantum Gravity

Jack Laiho·Kenny Ratliff
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Abstract

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.

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Jack Laiho, Kenny Ratliff. 2025-10-13. Euclidean Correlation Functions in Quantum Gravity. https://arxiv.org/abs/2510.11888

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