A Validation of Causal Dynamical Triangulations

Abstract

The Causal Dynamical Triangulation (CDT) approach to quantum gravity is a lattice approximation to the gravitational path integral. Developed by Ambjørn, 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.

14 pages, 11 figures, updated references

References in corpus (3)

• The Nonperturbative Quantum de Sitter Universe
• Quantizing Horava-Lifshitz Gravity via Causal Dynamical Triangulations
• Testing Lattice Quantum Gravity in 2+1 Dimensions

Cited by in corpus (21)

• Quantum Gravity from Causal Dynamical Triangulations: A Review
• Dimension and Dimensional Reduction in Quantum Gravity
• A functional renormalization group equation for foliated spacetimes
• Quantizing Horava-Lifshitz Gravity via Causal Dynamical Triangulations
• Asymptotic Safety, Fractals, and Cosmology
• Spacetime condensation in (2+1)-dimensional CDT from a Horava-Lifshitz minisuperspace model
• Fractal Spacetimes in Stochastic Gravity? -- Views from Anomalous Diffusion and the Correlation Hierarchy
• Observational constraints on dual intermediate inflation
• A first look at transition amplitudes in (2+1)-dimensional causal dynamical triangulations
• Spontaneous Dimensional Reduction?
• Renormalization of lattice-regularized quantum gravity models II. The case of causal dynamical triangulations
• Scale-dependent homogeneity measures for causal dynamical triangulations
• Exploring Torus Universes in Causal Dynamical Triangulations
• Setting the physical scale of dimensional reduction in causal dynamical triangulations
• Scaling analyses of the spectral dimension in 3-dimensional causal dynamical triangulations
• A second look at transition amplitudes in (2+1)-dimensional causal dynamical triangulations
• Spectral dimension in graph models of causal quantum gravity
• Aspects of dynamical dimensional reduction in multigraph ensembles of CDT
• Quantum Field Theory on Multifractal Spacetime: Varying Dimension and Ultraviolet Completeness
• Making the case for causal dynamical triangulations
• Comments on "Searching for a continuum limit in CDT quantum gravity"