The DOI matches its Crossref record; 20 of the 20 references it cites were found in a registry or an index.
BF description of higher-dimensional gravity theories
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In the first-order formalism, pure three-dimensional gravity is just the BF theory.Similarly, four-dimensional general relativity can be formulated as BF theory with an additional constraint term added to the Lagrangian.In this paper we show
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“Important results were already obtained in the canonical loop quantum gravity approach [117], and a first attempt to perform this derivation in the context of a spin foam model in 3D is in [118], but a complete and satisfactory procedure in the four-dimensional case is still missing and would be of paramount importance.”
From Spacetime geometry from algebra: spin foam models for non-perturbative quantum gravity (2001) · cites this paper as [118]
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Cites
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Freidel, L., & Krasnov, K. (1998) · Advances in Theoretical and Mathematical Physics · doi:10.4310/atmp.1998.v2.n6.a1 · Cited by 195
Self-citationso (4) Plebanski action and relativistic spin-foam model
Pietri, R. D., & Freidel, L. (1999) · Classical and Quantum Gravity · doi:10.1088/0264-9381/16/7/303 · Cited by 182
Self-citationRepresentation of Lie Groups and Special Functions
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Four-dimensional Yang-Mills theory as a deformation of topological BF theory
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Background independent quantum gravity: a status report
Ashtekar, A., & Lewandowski, J. (2004) · Classical and Quantum Gravity · doi:10.1088/0264-9381/21/15/r01 · Cited by 1,951
A new spin foam model for 4D gravity
Freidel, L., & Krasnov, K. (2008) · Classical and Quantum Gravity · doi:10.1088/0264-9381/25/12/125018 · Cited by 521
Self-citationGroup Field Theory: An Overview
Freidel, L. (2005) · International Journal of Theoretical Physics · doi:10.1007/s10773-005-8894-1 · Cited by 378
Self-citationLectures on Loop Quantum GravityPreprint
Thiemann, T. (2003) · Cited by 286
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Metadata
- Authors
- Freidel, L., Krasnov, K., & Puzio, R.
- Affiliations
- École Normale Supérieure de Lyon (FR)
- Pennsylvania State University (US)
- Venue
- Advances in Theoretical and Mathematical Physics
- Publisher
- International Press of Boston
- Published
- 1999
- Volume
- 3
- Issue
- 5
- Pages
- 1289-1324
- ISSN
- 1095-0753 (ISSN-L)
- 1095-0761
- OpenAlex
- W2963328975
- Cited by
- 137
- References
- 19
- Citations by year
- 2026: 1 · 2025: 2 · 2024: 2 · 2023: 1 · 2022: 9 · 2021: 3 · 2020: 5 · 2019: 4 · 2018: 2 · 2017: 2 · 2016: 4 · 2015: 3 · 2014: 5 · 2013: 10 · 2012: 8
- FWCI
- 4.36
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Advances in Theoretical and Mathematical Physics (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- arXiv (Cornell University)
- Funders
- National Science Foundation (9514240)
- University of Pennsylvania
- Pennsylvania State University
- Topics
- 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
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Noncommutative and Quantum Gravity Theories
- Keywords
- BF theory, higher-dimensional gravity, first-order formalism, three-dimensional gravity, general relativity, Lagrangian constraints
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