Quantum gravity as a “sum over surfaces”
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From loop quantum gravity and other approaches, the N_i's are naturally related to the area of the faces, and their intertwiner to the volume.
“indeed, we know from loop quantum gravity [3,29] and from other approaches [21], that the N i 's are naturally related to the area of the faces, and their intertwiner to the volume.”
From Barrett–Crane model from a Boulatov–Ooguri field theory over a homogeneous space (2000) · cites this paper as [3]
Cites
Discreteness of area and volume in quantum gravity
Rovelli, C., & Smolin, L. (1995) · Nuclear Physics B · doi:10.1016/0550-3213(95)00150-q · Cited by 1,365 · see citing works
Self-citationBaez, J. C. (1996) · Advances in Mathematics · doi:10.1006/aima.1996.0012 · Cited by 266 · see citing works
Quantum observables and recollapsing dynamics
Marolf, D. (1995) · Classical and Quantum Gravity · doi:10.1088/0264-9381/12/5/011 · Cited by 153 · see citing works
Spectrum of the volume operator in quantum gravity
Loll, R. (1996) · Nuclear Physics B · doi:10.1016/0550-3213(95)00627-3 · Cited by 90 · see citing works
A left-handed simplicial action for Euclidean general relativity
Reisenberger, M. P. (1997) · Classical and Quantum Gravity · doi:10.1088/0264-9381/14/7/012 · Cited by 73 · see citing works
Non-perturbative solutions for lattice quantum gravity
Loll, R. (1995) · Nuclear Physics B · doi:10.1016/0550-3213(95)00184-t · Cited by 47 · see citing works
TOPOLOGICAL MEASURE AND GRAPH-DIFFERENTIAL GEOMETRY ON THE QUOTIENT SPACE OF CONNECTIONS
LEWANDOWSKI, J. (1994) · International Journal of Modern Physics D · doi:10.1142/s0218271894000307 · Cited by 36 · see citing works
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Barrett–Crane model from a Boulatov–Ooguri field theory over a homogeneous space
De Pietri, R., Freidel, L., Krasnov, K., & Rovelli, C. (2000) · Nuclear Physics B · doi:10.1016/s0550-3213(00)00005-5 · Cited by 244 · see citing works
Self-citationParticle Scattering in Loop Quantum Gravity
Modesto, L., & Rovelli, C. (2005) · Physical Review Letters · doi:10.1103/physrevlett.95.191301 · Cited by 93 · see citing works
Self-citationPerturbative Finiteness in Spin-Foam Quantum Gravity
Crane, L., Perez, A., & Rovelli, C. (2001) · Physical Review Letters · doi:10.1103/physrevlett.87.181301 · Cited by 64 · see citing works
- Authors
- Rovelli, C.
- Venue
- Nuclear Physics B - Proceedings Supplements
- Publisher
- Elsevier BV
- Published
- 1997-08
- Volume
- 57
- Issue
- 1-3
- Pages
- 28-43
- ISSN
- 0920-5632 (ISSN-L)
- OpenAlex
- W2082452786
- Cited by
- 18
- References
- 7
- Citations by year
- 2014: 2 · 2013: 1
- FWCI
- 2.57
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Nuclear Physics B - Proceedings Supplements (publishedVersion)
- 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
- quantum gravity, loop representation, string theory, topological field theory
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.
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