Two-Point Functions of Four-Dimensional Simplicial Quantum Gravity

TL;DR

This paper studies the behavior of pure quantum gravity using a Regge discretization approach, analyzing correlation functions to understand interaction mechanisms and observing Yukawa-type forces on finite lattices.

Contribution

It provides the first detailed computation of volume-volume and link-link correlation functions in four-dimensional simplicial quantum gravity.

Findings

Correlation functions suggest Yukawa-type interactions.

Finite lattice effects observed away from the continuum limit.

Preliminary results indicating interaction mechanisms.

Abstract

We investigate the interaction mechanism of pure quantum gravity in Regge discretization. We compute volume-volume and link-link correlation functions. In a preliminary analysis the forces turn out to be of Yukawa type, at least on our finite lattice being away from the continuum limit.