Quantum tetrahedra and simplicial spin networks
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The basic idea behind the Barrett-Crane model was the quantum tetrahedron introduced by Barbieri and generalized to four dimensions.
“The basic idea behind the definition was that of the quantum tetrahedron introduced by Barbieri in [58] and generalized to 4D in [40].”
From The Spin-Foam Approach to Quantum Gravity (2013) · cites this paper as [58]
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- Authors
- Barbieri, A.
- Affiliations
- Istituto Nazionale di Fisica Nucleare, Sezione di Pisa (IT)
- Corresponding author
- Barbieri, A.
- Venue
- Nuclear Physics B
- Publisher
- Elsevier BV
- Published
- 1998-05
- Volume
- 518
- Issue
- 3
- Pages
- 714-728
- ISSN
- 0550-3213 (ISSN-L)
- OpenAlex
- W2088528909
- Cited by
- 113
- References
- 12
- Citations by year
- 2026: 1 · 2024: 5 · 2023: 4 · 2022: 8 · 2021: 5 · 2020: 3 · 2019: 7 · 2018: 7 · 2017: 3 · 2016: 8 · 2015: 4 · 2014: 6 · 2013: 6 · 2012: 4
- FWCI
- 3.42
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Nuclear Physics B (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- 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
- SU(2) representations, unitary irreducible representations, uncertainty relations, quantum gauge theory, loop representation, gauge invariance, diffeomorphism invariance
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
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