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.
Keywords
Cite
@article{arxiv.1406.4531,
title = {Renormalization of lattice-regularized quantum gravity models II. The case of causal dynamical triangulations},
author = {Joshua H. Cooperman},
journal= {arXiv preprint arXiv:1406.4531},
year = {2016}
}
Comments
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