Numerical evidence of regularized correlations in spin foam gravity

TL;DR

This paper provides numerical evidence supporting the inverse squared distance behavior of area correlations in spin foam gravity at large scales and demonstrates how microscopic discreteness regularizes correlations at the Planck scale.

Contribution

It offers the first numerical analysis confirming the semiclassical asymptotics and reveals how discreteness in spin foam models suppresses correlations at small scales.

Findings

Inverse squared distance behavior confirmed at large scales

Discreteness suppresses correlations at the Planck scale

Supports the semiclassical limit of spin foam gravity

Abstract

We report on the numerical analysis of the area correlations in spin foam gravity on a single 4-simplex considered by Rovelli in PRL 97 (2006) 151301. We compare the asymptotics and confirm the inverse squared distance leading behaviour at large scales. This supports the recent advances on testing the semiclassical limit of the theory. Furthermore, we show that the microscopic discreteness of the theory dynamically suppresses and regularizes the correlations at the Planck scale.