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Normals in different tetrahedra cannot be chosen independently if one wants to peak on a Regge geometry.
“Normals in different tetrahedra cannot be chosen independently if we want to peak on a Regge geometry [44].”
From LQG propagator from the new spin foams (2009) · cites this paper as [44]
BF theory with gauge group SU(2) is three-dimensional Euclidean quantum gravity, and its lattice formulation is the Ponzano-Regge model.
“BF theory with gauge group SU (2) is three-dimensional Euclidean quantum gravity, and the lattice formulation of this theory is just the Ponzano-Regge model [46].”
From Spin foam models (1998) · cites this paper as [46]
In three dimensions, the Ponzano-Regge model is based on SU(2) and the Turaev-Viro model is based on the quantum group SUq(2).
“In three dimensions one has the Ponzano-Regge [46] model based on SU (2) and the Turaev-Viro [62] model based on the quantum group SU q (2).”
From Spin foam models (1998) · cites this paper as [46]
The structure of the state sum and boundary terms is a close analogue to that discovered in [80,81] for SU(2) topological field theories in any number of dimensions, with differences being the group used and the absence of constraints on representations so topological invariance is maintained.
“The structure of the state sum and the form of the boundary terms is a very close analogue to that discovered in [80,81] for SU (2) topological field theories in any number of dimensions, the difference being the group used, of course, and the absence of any constraints on the representations so that the topological invariance is maintained.”
From Spacetime geometry from algebra: spin foam models for non-perturbative quantum gravity (2001) · cites this paper as [80]
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“Normals in different tetrahedra cannot be chosen independently if we want to peak on a Regge geometry [44].”
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- Authors
- Regge, T.
- Affiliations
- Princeton University (US)
- Corresponding author
- Regge, T.
- Venue
- Il Nuovo Cimento
- Published
- 1961-02
- Volume
- 19
- Issue
- 3
- Pages
- 558-571
- ISSN
- 0029-6341 (ISSN-L)
- 1827-6121
- OpenAlex
- W2029339103
- Cited by
- 1,477
- References
- 0
- Citations by year
- 2026: 28 · 2025: 52 · 2024: 51 · 2023: 87 · 2022: 31 · 2021: 44 · 2020: 55 · 2019: 51 · 2018: 38 · 2017: 34 · 2016: 58 · 2015: 42 · 2014: 43 · 2013: 39 · 2012: 62
- FWCI
- 0.79
- Type
- journal article
- Language
- en
- Open access
- closed
- Licence
- www.springer.com/tdm (tdm)
- Locations
- Il Nuovo Cimento (publishedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Relativity and Gravitational Theory
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Advanced Differential Geometry Research
- Physical Sciences › Mathematics › Applied Mathematics › Geometric Analysis and Curvature Flows
- Keywords
- general relativity, coordinate-free formulation, Riemannian manifolds, curved space, polyhedral approximation, wormholes
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