Simplicial quantum gravity in more than two dimensions
Abstract
The dynamical triangulation (DT) model of two-dimensional quantum gravity is generalized to higher dimensions. In three dimensions two updates are described which appear to allow for ergodic sampling of states, and an updating procedure which obeys detailed balance is given. The tensor-model generalization of the matrix-model formulation of higher-dimensional gravity is discussed and the relations between DT-, continuum-, and tensor-model couplings are given.
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The Ponzano-Regge ansatz constrains the lengths l_i of Regge-calculus links to be half integers: l_i = j_i = 1/2 n_i.
“Ponzano and Regge [9] considered Regge-calculus [13] in 3-d, but made the ansatz that the lengths l i of the Regge-calculus links be constrained to be half integers: l i = j i = 1 / 2 n i (integer n i ).”
From Basis of the Ponzano-Regge-Turaev-Viro-Ooguri quantum-gravity model is the loop representation basis (1993) · cites this paper as [13]
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- Authors
- Godfrey, N., & Gross, M.
- Affiliations
- California State University, Long Beach (US)
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 1991-03-15
- Volume
- 43
- Issue
- 6
- Pages
- R1749-R1753
- ISSN
- 0556-2821 (ISSN-L)
- OpenAlex
- W2079730581
- Cited by
- 93
- References
- 10
- Citations by year
- 2025: 1 · 2024: 4 · 2023: 4 · 2022: 6 · 2021: 5 · 2020: 9 · 2019: 2 · 2018: 3 · 2017: 3 · 2016: 1 · 2015: 5 · 2014: 3 · 2013: 6 · 2012: 4
- FWCI
- 4.14
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields (publishedVersion)
- PubMed (publishedVersion)
- 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
- simplicial quantum gravity, dynamical triangulations, higher-dimensional gravity, three-dimensional quantum gravity, detailed balance, tensor models, matrix models, continuum limit, coupling relations
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