Renormalization of lattice-regularized quantum gravity models II. The case of causal dynamical triangulations

Abstract

The causal dynamical triangulations approach aims to construct a quantum theory of gravity as the continuum limit of a lattice-regularized model of dynamical geometry. A renormalization group scheme--in concert with finite size scaling analysis--is essential to this aim. Formulating and implementing such a scheme in the present context raises novel and notable conceptual and technical problems. I explored these problems, and, building on standard techniques, suggested potential solutions in the first paper of this two-part series. As an application of these solutions, I now propose a renormalization group scheme for causal dynamical triangulations. This scheme differs significantly from that studied recently by Ambjorn, Gorlich, Jurkiewicz, Kreienbuehl, and Loll.

26 pages, 11 figures. The first paper in the two-part series will appear shortly. The second paper is sufficiently self-contained to be read on its own

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Cited by in corpus (7)

• Quantum Gravity from Causal Dynamical Triangulations: A Review
• Dimension and Dimensional Reduction in Quantum Gravity
• Spacetime condensation in (2+1)-dimensional CDT from a Horava-Lifshitz minisuperspace model
• Scaling analyses of the spectral dimension in 3-dimensional causal dynamical triangulations
• Setting the physical scale of dimensional reduction in causal dynamical triangulations
• A second look at transition amplitudes in (2+1)-dimensional causal dynamical triangulations
• Comments on "Searching for a continuum limit in CDT quantum gravity"