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The 1/N Expansion of Colored Tensor Models
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“In a further modification of the previous model (known as colored tensor models [208]) new techniques based on a suitable 1/N expansion imply that amplitudes are dominated by spherical topology [207]”
From The Spin-Foam Approach to Quantum Gravity (2013) · cites this paper as [207]
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“In a further modification of the previous model (known as colored tensor models [208]) new techniques based on a suitable 1/N expansion imply that amplitudes are dominated by spherical topology [207];”
From The Spin-Foam Approach to Quantum Gravity (2013) · cites this paper as [207]
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Citations
Cites
A planar diagram theory for strong interactions
Hooft, G. '. (1974) · Nuclear Physics B · doi:10.1016/0550-3213(74)90154-0 · Cited by 4,476
Brézin, E., Itzykson, C., Parisi, G., & Zuber, J. B. (1978) · Communications in Mathematical Physics · doi:10.1007/bf01614153 · Cited by 1,479
2D gravity and random matrices
Francesco, P. D., Ginsparg, P., & Zinn-Justin, J. (1995) · Physics Reports · doi:10.1016/0370-1573(94)00084-g · Cited by 1,332
Critical properties of randomly triangulated planar random surfaces
Kazakov, V., Kostov, I. K., & Migdal, A. (1985) · Physics Letters B · doi:10.1016/0370-2693(85)90669-0 · Cited by 627
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
Renormalisation of ?4-Theory on Noncommutative ?4 in the Matrix Base
Grosse, H., & Wulkenhaar, R. (2005) · Communications in Mathematical Physics · doi:10.1007/s00220-004-1285-2 · Cited by 427
New spinfoam vertex for quantum gravity
Livine, E. R., & Speziale, S. (2007) · Physical Review D · doi:10.1103/physrevd.76.084028 · Cited by 401
Group Field Theory: An Overview
Freidel, L. (2005) · International Journal of Theoretical Physics · doi:10.1007/s10773-005-8894-1 · Cited by 378
Analytical and numerical study of a model of dynamically triangulated random surfaces
Boulatov, D. V., Kazakov, V. A., Kostov, I. K., & Migdal, A. A. (1986) · Nuclear Physics B · doi:10.1016/0550-3213(86)90578-x · Cited by 375
A model of random surfaces with non-trivial critical behaviour
David, F. (1985) · Nuclear Physics B · doi:10.1016/0550-3213(85)90363-3 · Cited by 365
Research works printed but not linked: 5
- Baratin, A., Oriti, D.: Group Field Theory with Non-Commutative Metric Variables. [arXiv:1002.4723 [hep-th]] · arXiv
- Alexandrov, S., Roche, P.: Critical Overview of Loops and Foams. arXiv:1009.4475 [gr-qc] · arXiv
- Gurau, R.: Colored Group Field Theory. [arXiv:0907.2582 [hep-th]] · arXiv
- Geloun, J.B., Magnen, J., Rivasseau, V.: Bosonic Colored Group Field Theory. [arXiv:0911.1719 [hep-th]] · arXiv
- Lins, S.: Gems, Computers and Attractors for 3-Manifolds. Series on Knots and Everything, vol. 5. ISBN: 9810219075/ISBN-13: 9789810219079
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Metadata
- Authors
- Gurau, R.
- Venue
- Annales Henri Poincaré
- Published
- 2011-03-29
- Volume
- 12
- Issue
- 5
- Pages
- 829-847
- ISSN
- 1424-0637 (ISSN-L)
- 1424-0661
- OpenAlex
- W2034856570
- Cited by
- 298
- References
- 30
- Citations by year
- 2025: 6 · 2024: 7 · 2023: 5 · 2022: 11 · 2021: 40 · 2020: 15 · 2019: 29 · 2018: 30 · 2017: 24 · 2016: 23 · 2015: 14 · 2014: 25 · 2013: 27 · 2012: 25
- FWCI
- 22.77
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Licence
- www.springer.com/tdm (tdm)
- Locations
- Annales Henri Poincaré (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- Funders
- Government of Canada
- Industry Canada
- Institut Périmètre de physique théorique
- Topics
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Noncommutative and Quantum Gravity Theories
- Physical Sciences › Mathematics › Statistics and Probability › Random Matrices and Applications
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
- Keywords
- 1/N expansion, topological expansion, large N limit, three-dimensional quantum gravity, random tensor models, matrix models
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