Extrinsic curvature in two-dimensional causal dynamical triangulation
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 t...
| Main Authors: | , , |
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| Format: | Article |
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American Physical Society
2016
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| Online Access: | https://eprints.nottingham.ac.uk/39499/ |
| _version_ | 1848795851260952576 |
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| author | Glaser, Lisa Sotiriou, Thomas P. Weinfurtner, Silke |
| author_facet | Glaser, Lisa Sotiriou, Thomas P. Weinfurtner, Silke |
| author_sort | Glaser, Lisa |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-14T19:38:39Z |
| format | Article |
| id | nottingham-39499 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T19:38:39Z |
| publishDate | 2016 |
| publisher | American Physical Society |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-394992020-05-04T18:13:08Z https://eprints.nottingham.ac.uk/39499/ Extrinsic curvature in two-dimensional causal dynamical triangulation Glaser, Lisa Sotiriou, Thomas P. Weinfurtner, Silke 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. American Physical Society 2016-09-07 Article PeerReviewed Glaser, Lisa, 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 http://dx.doi.org/10.1103/PhysRevD.94.064014 doi:10.1103/PhysRevD.94.064014 doi:10.1103/PhysRevD.94.064014 |
| spellingShingle | Glaser, Lisa Sotiriou, Thomas P. Weinfurtner, Silke Extrinsic curvature in two-dimensional causal dynamical triangulation |
| title | Extrinsic curvature in two-dimensional causal dynamical triangulation |
| title_full | Extrinsic curvature in two-dimensional causal dynamical triangulation |
| title_fullStr | Extrinsic curvature in two-dimensional causal dynamical triangulation |
| title_full_unstemmed | Extrinsic curvature in two-dimensional causal dynamical triangulation |
| title_short | Extrinsic curvature in two-dimensional causal dynamical triangulation |
| title_sort | extrinsic curvature in two-dimensional causal dynamical triangulation |
| url | https://eprints.nottingham.ac.uk/39499/ https://eprints.nottingham.ac.uk/39499/ https://eprints.nottingham.ac.uk/39499/ |