A definition of the Ponzano–Regge quantum gravity model in terms of surfacesa)
Open accessAbstract
We show that the partition function of the Ponzano–Regge quantum gravity model can be written as a sum over surfaces in a (2+1)-dimensional space–time. We suggest a geometrical meaning, in terms of surfaces, for the (regulated) divergences that appear in the partition function.
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Results in [11,22] support the idea that the Barrett-Crane model is related to quantum general relativity.
“Results in [11,22] support the idea that the Barrett-Crane model is indeed related to quantum general relativity.”
From Barrett–Crane model from a Boulatov–Ooguri field theory over a homogeneous space (2000) · cites this paper as [11]
In models of gravity a spin foam defines a discrete spacetime geometry.
“In models of gravity a spin foam defines a discrete spacetime geometry [4, 15, 19]”
From Spacetime as a Feynman diagram: the connection formulation (2001) · cites this paper as [4]
Spin foam models are the path integral counterparts to loop quantized canonical theories.
“Spin foam models are the path integral counterparts to loop quantized canonical theories.”
From Spacetime as a Feynman diagram: the connection formulation (2001) · cites this paper as [4]
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References 10 · Cited by 43
- Authors
- Iwasaki, J.
- Affiliations
- University of Pittsburgh (US)
- Corresponding author
- Iwasaki, Junichi
- ORCID
- Iwasaki, Junichi
- Venue
- Journal of Mathematical Physics
- Publisher
- AIP Publishing
- Published
- 1995-11-01
- Volume
- 36
- Issue
- 11
- Pages
- 6288-6298
- ISSN
- 0022-2488 (ISSN-L)
- 1089-7658
- OpenAlex
- W1854704759
- Cited by
- 43
- References
- 10
- Citations by year
- 2021: 1 · 2020: 2 · 2019: 1 · 2016: 1 · 2014: 1 · 2013: 2 · 2012: 1
- FWCI
- 2.32
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Journal of Mathematical Physics (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- 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
- Ponzano-Regge model, quantum gravity, partition function, surfaces, 2+1 dimensions, geometric interpretation, 3-manifolds
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