A phase space path integral for (2+1)-dimensional gravity
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The relationship between the phase space path integral in (2+1)-dimensional gravity and the canonical quantization of the corresponding reduced phase space in the York time slicing is investigated. The equivalence of these two approaches is demonstrated, and some subtleties in the definition of the path integral necessary to prove this equivalence are discussed.
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The phase space path integral for spatially closed universes and for geometries with point particles is equivalent to canonical quantization of Section 3.1.
“This is indeed true, as shown in [77, 245] for spatially closed universes and [63] for geometries with point particles.”
From Quantum Gravity in 2 + 1 Dimensions: The Case of a Closed Universe (2005) · cites this paper as [77]
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Cites
Role of Conformal Three-Geometry in the Dynamics of Gravitation
York, J. W. (1972) · Physical Review Letters · doi:10.1103/physrevlett.28.1082 · Cited by 1,392 · see citing works
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Research works printed but not linked: 5
- [1][1] For recent reviews, see S. Carlip, 'Lectures on (2+1)-Dimensional Gravity,' Davis preprint UCD-95-6, gr-qc/9503024, and R. Loll, 'Quantum Aspects of 2+1 Gravity,' INFN (Florence) preprint DFF-223-03-95, gr-qc/9503051. - · arXiv
- [11][11] M. Henneaux and C. Teitelboim, Quantization of Gauge Systems (Princeton University Press, Princeton, 1992). -
- [20][20] W. Abikoff, The Real Analytic Theory of Teichm¨ uller Space , Lecture Notes in Mathematics 820 (Springer-Verlag, Berlin, 1980). -
- [21][21] H. M. Farkas and I. Kra, Riemann Surfaces (Springer-Verlag, Berlin, 1980). -
- [30][30] K. Kuchaˇ r, in Proc. of the 4th Canadian Conf. on General Relativity and Relativistic Astrophysics , edited by G. Kunstatter et al. (World Scientific, Singapore, 1992). -
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Quantum Gravity in 2 + 1 Dimensions: The Case of a Closed Universe
Carlip, S. (2005) · Living Reviews in Relativity · doi:10.12942/lrr-2005-1 · Cited by 172 · see citing works
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- Authors
- Carlip, S.
- Affiliations
- University of California, Davis (US)
- Corresponding author
- Carlip, S
- ORCID
- Carlip, S
- Venue
- Classical and Quantum Gravity
- Publisher
- IOP Publishing
- Published
- 1995-09-01
- Volume
- 12
- Issue
- 9
- Pages
- 2201-2207
- ISSN
- 0264-9381 (ISSN-L)
- 1361-6382
- OpenAlex
- W2037728818
- Cited by
- 11
- References
- 1
- Citations by year
- 2024: 1 · 2015: 1 · 2014: 1
- FWCI
- 0.56
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Classical and Quantum Gravity (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- arXiv (Cornell University)
- Funders
- National Science Foundation
- U.S. Department of Energy
- Topics
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Noncommutative and Quantum Gravity Theories
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Relativity and Gravitational Theory
- Keywords
- phase space path integral, three-dimensional gravity, canonical quantization, reduced phase space
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