Feynman Quantization of General Relativity
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Barrett and Crane proposed an intertwiner for labelling each tetrahedron that was shown to be unique in [59].
“Moreover Barrett and Crane proposed a form of the intertwiner to be used for labelling each tetrahedron that was shown to be unique in [59].”
From Spacetime geometry from algebra: spin foam models for non-perturbative quantum gravity (2001) · cites this paper as [59]
Performing the integrals, the amplitude for a single boundary tetrahedron is given by eq (78), where the B's are un-normalized Barrett-Crane intertwiners, unique up to scaling.
“Performing explicitly all the integrals, the amplitude for a single tetrahedron on the boundary turns out to be A e = simple I,L 1 J 1 J 2 J 3 J 4 C J 1 J 2 J 3 J 4 I k 1 k 2 k 3 k 4 C J 1 J 2 J 3 J 4 L m 1 m 2 m 3 m 4 = 1 J 1 J 2 J 3 J 4 B J 1 J 2 J 3 J 4 k 1 k 2 k 3 k 4 B J 1 J 2 J 3 J 4 m 1 m 2 m 3 m 4 (78 )”
From Spacetime geometry from algebra: spin foam models for non-perturbative quantum gravity (2001) · cites this paper as [59]
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The Spin-Foam Approach to Quantum Gravity
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Perturbative Finiteness in Spin-Foam Quantum Gravity
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- Authors
- Misner, C. W.
- Affiliations
- Princeton University (US)
- Corresponding author
- Misner, Charles W.
- ORCID
- Misner, Charles W.
- Venue
- Reviews of Modern Physics
- Publisher
- American Physical Society (APS)
- Published
- 1957-07-01
- Volume
- 29
- Issue
- 3
- Pages
- 497-509
- ISSN
- 0034-6861 (ISSN-L)
- OpenAlex
- W2046525249
- Cited by
- 231
- References
- 25
- Citations by year
- 2025: 20 · 2024: 22 · 2023: 4 · 2022: 5 · 2021: 5 · 2020: 5 · 2019: 2 · 2018: 3 · 2017: 5 · 2016: 9 · 2015: 1 · 2014: 6 · 2013: 7 · 2012: 4
- FWCI
- 7.99
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Reviews of Modern Physics (publishedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Relativity and Gravitational Theory
- 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
- Keywords
- general relativity, quantum gravity, path integral, quantum field theory of gravity
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