A Validation of Causal Dynamical Triangulations

TL;DR

This paper independently verifies the Causal Dynamical Triangulations approach to quantum gravity, confirming key results like classical spacetime emergence and spectral dimension reduction in 2+1 and 3+1 dimensions.

Contribution

It provides the first independent validation of the CDT algorithm, reproducing key results previously obtained with a different code.

Findings

Successful reproduction of classical spacetime emergence

Confirmation of spectral dimension reduction in 2+1 and 3+1 dimensions

Independent verification of CDT results

Abstract

The Causal Dynamical Triangulation (CDT) approach to quantum gravity is a lattice approximation to the gravitational path integral. Developed by Ambj\o{}rn, Jurkiewicz and Loll, it has yielded some important results, notably the emergence of classical spacetime and short scale dimensional reduction. However, virtually all the results reported so far have been based on a single computer code. In this paper we present the first completely independent verification of the CDT algorithm, and report the successful reproduction of the emergence of classical spacetime and smooth reduction in the spectral dimension of the 2+1 and 3+1 dimensional spacetimes.