Evidence for Asymptotic Safety from Lattice Quantum Gravity

TL;DR

This paper investigates the spectral dimension in nonperturbative quantum gravity using Euclidean dynamical triangulations, revealing a scale-dependent dimension that supports the asymptotic safety scenario and addresses holographic principle tensions.

Contribution

It provides nonperturbative evidence for the scale-dependent spectral dimension in quantum gravity, linking asymptotic safety with holographic considerations.

Findings

Spectral dimension runs from ~1.5 at short distances to ~4 at large distances

Results are consistent with causal dynamical triangulations

Short distance spectral dimension may resolve asymptotic safety and holography tension

Abstract

We calculate the spectral dimension for nonperturbative quantum gravity defined via Euclidean dynamical triangulations. We find that it runs from a value of ~3/2 at short distance to ~4 at large distance scales, similar to results from causal dynamical triangulations. We argue that the short distance value of 3/2 for the spectral dimension may resolve the tension between asymptotic safety and the holographic principle.