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Extrinsic curvature in two-dimensional causal dynamical triangulation

Glaser, Lisa; Sotiriou, Thomas P.; Weinfurtner, Silke

Authors

Lisa Glaser

THOMAS SOTIRIOU Thomas.Sotiriou@nottingham.ac.uk
Professor of Gravitational Physics

SILKE WEINFURTNER Silke.Weinfurtner@nottingham.ac.uk
Professor of Mathematicaland Experimental Physics



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.

Journal Article Type Article
Publication Date Sep 7, 2016
Journal Physical Review D
Print ISSN 2470-0010
Electronic ISSN 2470-0029
Publisher American Physical Society
Peer Reviewed Peer Reviewed
Volume 94
Issue 6
Article Number 64014
APA6 Citation Glaser, L., Sotiriou, T. P., & Weinfurtner, S. (2016). Extrinsic curvature in two-dimensional causal dynamical triangulation. Physical Review D, 94(6), https://doi.org/10.1103/PhysRevD.94.064014
DOI https://doi.org/10.1103/PhysRevD.94.064014
Publisher URL http://dx.doi.org/10.1103/PhysRevD.94.064014
Copyright Statement Copyright information regarding this work can be found at the following address: http://eprints.nottingh.../end_user_agreement.pdf
Additional Information ©2016 American Physical Society

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Copyright Statement
Copyright information regarding this work can be found at the following address: http://eprints.nottingham.ac.uk/end_user_agreement.pdf





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