Notes on the (2+1)-dimensional Wheeler--DeWitt equation
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In contrast to other approaches to (2+1)-dimensional quantum gravity, the Wheeler--DeWitt equation appears to be too complicated to solve explicitly, even for simple spacetime topologies. Nevertheless, it is possible to obtain a good deal of information about solutions and their interpretation. In particular, strong evidence is presented that Wheeler--DeWitt quantization is not equivalent to reduced phase space quantization.
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In the second order formalism, imposing the Wheeler-DeWitt constraints is considerably more complicated.
“In the second order formalism, matters become considerably more complicated [73].”
From Quantum Gravity in 2 + 1 Dimensions: The Case of a Closed Universe (2005) · cites this paper as [73]
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Research works printed but not linked: 5
- Kuchd K I992 Pmc. 4th Canadirm Con$ on General Relativity and Relativistic Astmphysics ed G Kunstaner et al (Singapore: World Scientific)
- I] &lip S I993 'Six ways to quantize (2 t I)-dimensional gravity' University of California at Dnvispreprint UCD-93-15 to appear in Proc. 5th Canadian Con$ on General Relativiry and Relalivirlic Astrophysics 1121
- I41 Kubota T 1973 Elementary Tkory ufEiremtein Series (Tokyo: Kodansha) and (New York Wiley)
- Lang S 1987 Elliptic Functiom (New York Springer)
- Wald R M 1993 A proposal for solving the 'pmblem of time' in canonical quantum gravity University @ Chicago preprint
Cited by
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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
- Venue
- Classical and Quantum Gravity
- Publisher
- IOP Publishing
- Published
- 1994-01-01
- Volume
- 11
- Issue
- 1
- Pages
- 31-39
- ISSN
- 0264-9381 (ISSN-L)
- 1361-6382
- OpenAlex
- W2057549615
- Cited by
- 22
- References
- 0
- Citations by year
- 2025: 3 · 2024: 2 · 2021: 1 · 2020: 1 · 2013: 1 · 2012: 2
- FWCI
- 1.94
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Classical and Quantum Gravity (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- Funders
- National Science Foundation (8904035)
- U.S. Department of Energy (PHY89-04035, FG0391ER40674)
- Topics
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Noncommutative and Quantum Gravity Theories
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Relativity and Gravitational Theory
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
- Keywords
- Wheeler-DeWitt equation, three-dimensional gravity, reduced phase space quantization, quantum gravity, spacetime topology
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