Translation symmetry in 2+1 Regge calculus
Abstract
The authors construct a theory of 2+1 Regge calculus with exact translation symmetry (including time evolution). The algebra of the translation constraints is shown to close, although the structure constants are non-local on the lattice. They work out explicitly the case of a spacetime with a torus as a Cauchy surface and give an explicit expression for the translation symmetry in that case.
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A related first-order Hamiltonian lattice model has been studied by Waelbroeck et al.
“A related first-order Hamiltonian lattice model has been studied by Waelbroeck et al. [266, 267, 268, 270].”
From Quantum Gravity in 2 + 1 Dimensions: The Case of a Closed Universe (2005) · cites this paper as [270]
Cites
General relativity without coordinates
Regge, T. (1961) · Il Nuovo Cimento · doi:10.1007/bf02733251 · Cited by 1,477 · see citing works
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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
- Authors
- Waelbroeck, H., & Zapata, J. A.
- Affiliations
- Universidad Nacional Autónoma de México (MX)
- ORCID
- Zapata, J A
- Venue
- Classical and Quantum Gravity
- Publisher
- IOP Publishing
- Published
- 1993-09-01
- Volume
- 10
- Issue
- 9
- Pages
- 1923-1932
- ISSN
- 0264-9381 (ISSN-L)
- 1361-6382
- OpenAlex
- W2030260820
- Cited by
- 5
- References
- 1
- Citations by year
- 2020: 1 · 2013: 2
- FWCI
- 0.00
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Classical and Quantum Gravity (publishedVersion)
- 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
- Regge calculus, three-dimensional gravity, translation invariance, translation constraints, constraint algebra, lattice gravity, time evolution
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