Extrinsic curvature in two-dimensional causal dynamical triangulation

Glaser, Lisa and Sotiriou, Thomas P. and Weinfurtner, Silke (2016) Extrinsic curvature in two-dimensional causal dynamical triangulation. Physical Review D, 94 (6). 64014/1-64014/9. ISSN 2470-0029

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Abstract

Causal dynamical triangulation (CDT) is a nonperturbative quantization of general relativity. Hořava-Lifshitz gravity, on the other hand, modifies general relativity to allow for perturbative quantization. Past work has given rise to the speculation that Hořava-Lifshitz gravity might correspond to the continuum limit of CDT. In this paper we add another piece to this puzzle by applying the CDT quantization prescription directly to Hořava-Lifshitz gravity in two dimensions. We derive the continuum Hamiltonian, and we show that it matches exactly the Hamiltonian derived from canonically quantizing the Hořava-Lifshitz action. Unlike the standard CDT case, here the introduction of a foliated lattice does not impose further restriction on the configuration space and, as a result, lattice quantization does not leave any imprint on continuum physics as expected.

Item Type: Article
Additional Information: ©2016 American Physical Society
Schools/Departments: University of Nottingham, UK > Faculty of Science > School of Mathematical Sciences
University of Nottingham, UK > Faculty of Science > School of Physics and Astronomy
Identification Number: https://doi.org/10.1103/PhysRevD.94.064014
Depositing User: Eprints, Support
Date Deposited: 21 Dec 2016 13:59
Last Modified: 14 Jan 2017 01:17
URI: http://eprints.nottingham.ac.uk/id/eprint/39499

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