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The 1/N expansion of colored tensor models in arbitrary dimension
Open accessAbstract
In this paper we extend the 1/ N expansion introduced in Gurau R., Ann. Henri Poincaré , 12 (2011) 829, to group field theories in arbitrary dimension and prove that only graphs corresponding to spheres S D contribute to the leading order in the large- N limit.
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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
Group Field Theory: An Overview
Freidel, L. (2005) · International Journal of Theoretical Physics · doi:10.1007/s10773-005-8894-1 · Cited by 378
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
Flipped spinfoam vertex and loop gravity
Engle, J., Pereira, R., & Rovelli, C. (2008) · Nuclear Physics B · doi:10.1016/j.nuclphysb.2008.02.002 · Cited by 241
Cited by
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., & Rivasseau, V.
- Venue
- EPL (Europhysics Letters)
- Publisher
- IOP Publishing
- Published
- 2011-08-19
- Volume
- 95
- Issue
- 5
- Pages
- 50004
- ISSN
- 0295-5075 (ISSN-L)
- 1286-4854
- OpenAlex
- W1974467538
- Cited by
- 179
- References
- 6
- FWCI
- 9.71
- Type
- journal article
- Language
- en
- Open access
- bronze
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