Barrett-Crane spin foam model from generalizedBF-type action for gravity
Open accessAbstract
We study a generalized action for gravity as a constrained $\mathrm{BF}$ theory, and its relationship with the Plebanski action. We analyze the discretization of the constraints and the spin foam quantization of the theory, showing that it leads naturally to the Barrett-Crane spin foam model for quantum gravity. Our analysis holds true in both the Euclidean and Lorentzian formulations.
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- Authors
- Livine, R. E., & Oriti, D.
- Affiliations
- Centre National de la Recherche Scientifique (FR)
- University of Cambridge (GB)
- ORCID
- Oriti, Daniele
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 2002-01-28
- Volume
- 65
- Issue
- 4
- ISSN
- 0556-2821 (ISSN-L)
- 1089-4918
- OpenAlex
- W2129606061
- Cited by
- 46
- References
- 41
- Citations by year
- 2025: 1 · 2022: 2 · 2021: 1 · 2020: 1 · 2018: 1 · 2016: 1 · 2015: 2 · 2012: 1
- FWCI
- 2.07
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- CERN Document Server (European Organization for Nuclear Research) (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
- Barrett-Crane model, BF theory, quantum gravity
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