A Ponzano-Regge model of Lorentzian 3-dimensional gravity
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The most elegant derivation of a Lorentzian spin foam description starts with the first-order action (14), with Λ=0, for a triangulated manifold.
“Probably the most elegant derivation of a Lorentzian spin foam description starts with the first-order action (14), with Λ = 0, for a triangulated manifold [125, 128].”
From Quantum Gravity in 2 + 1 Dimensions: The Case of a Closed Universe (2005) · cites this paper as [125]
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Cites
2 + 1 dimensional gravity as an exactly soluble system
Witten, E. (1988) · Nuclear Physics B · doi:10.1016/0550-3213(88)90143-5 · Cited by 2,562 · see citing works
Ooguri, H. (1992) · Nuclear Physics B · doi:10.1016/0550-3213(92)90188-h · Cited by 76 · see citing works
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Research works printed but not linked: 1
- [7][7] N. Vilenkin and A. Klimyk, Vol. 1, Mathematics and its applications, Kluwer academic publisher, 1993.
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The Spin-Foam Approach to Quantum Gravity
Perez, A. (2013) · Living Reviews in Relativity · doi:10.12942/lrr-2013-3 · Cited by 677 · see citing works
Group Field Theory: An Overview
Freidel, L. (2005) · International Journal of Theoretical Physics · doi:10.1007/s10773-005-8894-1 · Cited by 378 · see citing works
Self-citation3D Quantum Gravity and Effective Noncommutative Quantum Field Theory
Freidel, L., & Livine, E. R. (2006) · Physical Review Letters · doi:10.1103/physrevlett.96.221301 · Cited by 298 · see citing works
Self-citationPonzano–Regge model revisited: III. Feynman diagrams and effective field theory
Freidel, L., & Livine, E. R. (2006) · Classical and Quantum Gravity · doi:10.1088/0264-9381/23/6/012 · Cited by 266 · see citing works
Self-citationQuantum Gravity in 2 + 1 Dimensions: The Case of a Closed Universe
Carlip, S. (2005) · Living Reviews in Relativity · doi:10.12942/lrr-2005-1 · Cited by 172 · see citing works
Asymptotics of 6 <i>j</i> and 10 <i>j</i> symbols
Freidel, L., & Louapre, D. (2003) · Classical and Quantum Gravity · doi:10.1088/0264-9381/20/7/303 · Cited by 113 · see citing works
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- Authors
- Freidel, L.
- Affiliations
- École Normale Supérieure de Lyon (FR)
- Corresponding author
- Freidel, L.
- ORCID
- Freidel, L.
- Venue
- Nuclear Physics B - Proceedings Supplements
- Publisher
- Elsevier BV
- Published
- 2000-06
- Volume
- 88
- Issue
- 1-3
- Pages
- 237-240
- ISSN
- 0920-5632 (ISSN-L)
- OpenAlex
- W2011977602
- Cited by
- 48
- References
- 2
- Citations by year
- 2025: 3 · 2024: 5 · 2023: 2 · 2021: 2 · 2020: 2 · 2018: 3 · 2017: 1 · 2015: 1 · 2014: 2 · 2013: 2
- FWCI
- 2.58
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Nuclear Physics B - Proceedings Supplements (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 › 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, state sum models, triangulation, partition function, Lorentzian signature, quantum gravity, simplicial quantum gravity
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