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The Complete 1/N Expansion of Colored Tensor Models in Arbitrary Dimension
Open accessAbstract
In this paper we generalize the results of Gurau (arXiv:1011. 2726 [gr-qc], 2011), Gurau and Rivasseau (arXiv:1101.4182 [gr-qc], 2011) and derive the full 1/N expansion of colored tensor models in arbitrary dimensions. We detail the expansion for the independent identically distributed model and the topological Boulatov Ooguri model.
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Cites
Brézin, E., Itzykson, C., Parisi, G., & Zuber, J. B. (1978) · Communications in Mathematical Physics · doi:10.1007/bf01614153 · Cited by 1,479
TOPOLOGICAL LATTICE MODELS IN FOUR DIMENSIONS
OOGURI, H. (1992) · Modern Physics Letters A · doi:10.1142/s0217732392004171 · Cited by 379
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
THREE-DIMENSIONAL SIMPLICIAL QUANTUM GRAVITY AND GENERALIZED MATRIX MODELS
AMBJØRN, J., DURHUUS, B., & JÓNSSON, T. (1991) · Modern Physics Letters A · doi:10.1142/s0217732391001184 · Cited by 341
A MODEL OF THREE-DIMENSIONAL LATTICE GRAVITY
BOULATOV, D. V. (1992) · Modern Physics Letters A · doi:10.1142/s0217732392001324 · Cited by 326
The 1/N Expansion of Colored Tensor Models
Gurau, R. (2011) · Annales Henri Poincaré · doi:10.1007/s00023-011-0101-8 · Cited by 298
Lorentzian spin foam amplitudes: graphical calculus and asymptotics
Barrett, J. W., Dowdall, R. J., Fairbairn, W. J., Hellmann, F., & Pereira, R. (2010) · Classical and Quantum Gravity · doi:10.1088/0264-9381/27/16/165009 · Cited by 247
Flipped spinfoam vertex and loop gravity
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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
Uncolored random tensors, melon diagrams, and the Sachdev-Ye-Kitaev models
Klebanov, I. R., & Tarnopolsky, G. (2017) · Physical Review D · doi:10.1103/physrevd.95.046004 · Cited by 336
Functional renormalisation group approach for tensorial group field theory: a rank-3 model
Benedetti, D., Geloun, J. B., & Oriti, D. (2015) · Journal of High Energy Physics · doi:10.1007/jhep03(2015)084 · Cited by 104
Functional renormalization group analysis of tensorial group field theories onRd
Geloun, J. B., Martini, R., & Oriti, D. (2016) · Physical Review D · doi:10.1103/physrevd.94.024017 · Cited by 71
Eichhorn, A., & Koslowski, T. (2014) · Physical Review D · doi:10.1103/physrevd.90.104039 · Cited by 51
Metadata
- Authors
- Gurau, R.
- Venue
- Annales Henri Poincaré
- Published
- 2011-07-09
- Volume
- 13
- Issue
- 3
- Pages
- 399-423
- ISSN
- 1424-0637 (ISSN-L)
- 1424-0661
- OpenAlex
- W2009153432
- Cited by
- 249
- References
- 9
- FWCI
- 10.21
- Type
- journal article
- Language
- en
- Open access
- bronze
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