The 1/N Expansion of Colored Tensor Models
Open accessThe claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
In colored tensor models, a suitable 1/N expansion implies that amplitudes are dominated by spherical topology.
“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]
In colored tensor models, a suitable 1/N expansion implies that spherical topology dominates the amplitudes.
“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]
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
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 · see citing works
Brézin, E., Itzykson, C., Parisi, G., & Zuber, J. B. (1978) · Communications in Mathematical Physics · doi:10.1007/bf01614153 · Cited by 1,479 · see citing works
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 · see citing works
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 · see citing works
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 · see citing works
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 · see citing works
New spinfoam vertex for quantum gravity
Livine, E. R., & Speziale, S. (2007) · Physical Review D · doi:10.1103/physrevd.76.084028 · Cited by 401 · see citing works
Group Field Theory: An Overview
Freidel, L. (2005) · International Journal of Theoretical Physics · doi:10.1007/s10773-005-8894-1 · Cited by 378 · see citing works
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 · see citing works
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 · see citing works
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 · see citing works
A MODEL OF THREE-DIMENSIONAL LATTICE GRAVITY
BOULATOV, D. V. (1992) · Modern Physics Letters A · doi:10.1142/s0217732392001324 · Cited by 326 · see citing works
A matrix model for the two-dimensional black hole
Kazakov, V., Kostov, I. K., & Kutasov, D. (2002) · Nuclear Physics B · doi:10.1016/s0550-3213(01)00606-x · Cited by 279 · see citing works
TENSOR MODEL FOR GRAVITY AND ORIENTABILITY OF MANIFOLD
Sasakura, N. (1991) · Modern Physics Letters A · doi:10.1142/s0217732391003055 · Cited by 277 · see citing works
One-dimensional string theory on a circle
Gross, D. J., & Klebanov, I. R. (1990) · Nuclear Physics B · doi:10.1016/0550-3213(90)90667-3 · Cited by 262 · see citing works
A nonperturbative solution of D = 1 string theory
Gross, D. J., & Miljković, N. (1990) · Physics Letters B · doi:10.1016/0370-2693(90)91724-p · Cited by 250 · see citing works
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 · see citing works
Ponzano–Regge model revisited: I. Gauge fixing, observables and interacting spinning particles
Freidel, L., & Louapre, D. (2004) · Classical and Quantum Gravity · doi:10.1088/0264-9381/21/24/002 · Cited by 218 · see citing works
Lost in translation: topological singularities in group field theory
Gurău, R. (2010) · Classical and Quantum Gravity · doi:10.1088/0264-9381/27/23/235023 · Cited by 147 · see citing works
Tensor models and simplicial quantum gravity in >2-D
Gross, M. (1992) · Nuclear Physics B - Proceedings Supplements · doi:10.1016/s0920-5632(05)80015-5 · Cited by 146 · see citing works
Renormalization of Non-Commutative $$\Phi^4_4$$ Field Theory in x Space
Gurău, R., Magnen, J., Rivasseau, V., & Vignes-Tourneret, F. (2006) · Communications in Mathematical Physics · doi:10.1007/s00220-006-0055-8 · Cited by 145 · see citing works
Scaling behavior of three-dimensional group field theory
Magnen, J., Noui, K., Rivasseau, V., & Smerlak, M. (2009) · Classical and Quantum Gravity · doi:10.1088/0264-9381/26/18/185012 · Cited by 139 · see citing works
Group field theory renormalization in the 3D case: Power counting of divergences
Freidel, L., Gurău, R., & Oriti, D. (2009) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.80.044007 · Cited by 136 · see citing works
Topological Graph Polynomials in Colored Group Field Theory
Gurău, R. (2010) · Annales Henri Poincaré · doi:10.1007/s00023-010-0035-6 · Cited by 131 · see citing works
Ferri, M., & Gagliardi, C. (1982) · Pacific Journal of Mathematics · doi:10.2140/pjm.1982.100.85 · Cited by 130 · see citing works
Renormalisation of Noncommutative ϕ 4-Theory by Multi-Scale Analysis
Rivasseau, V., Vignes-Tourneret, F., & Wulkenhaar, R. (2005) · Communications in Mathematical Physics · doi:10.1007/s00220-005-1440-4 · Cited by 125 · see citing works
Bubble Divergences from Cellular Cohomology
Bonzom, V., & Smerlak, M. (2010) · Letters in Mathematical Physics · doi:10.1007/s11005-010-0414-4 · Cited by 116 · see citing works
Linearized group field theory and power-counting theorems
Geloun, J. B., Krajewski, T., Magnen, J., & Rivasseau, V. (2010) · Classical and Quantum Gravity · doi:10.1088/0264-9381/27/15/155012 · Cited by 112 · see citing works
Geloun, J. B., Gurău, R., & Rivasseau, V. (2010) · Europhysics Letters (EPL) · doi:10.1209/0295-5075/92/60008 · Cited by 97 · see citing works
Parametric Representation of Noncommutative Field Theory
Gurău, R., & Rivasseau, V. (2007) · Communications in Mathematical Physics · doi:10.1007/s00220-007-0215-5 · Cited by 60 · see citing works
The group field theory approach to quantum gravity: some recent resultsPreprint
Oriti, D. (2009) · arXiv (Cornell University) · doi:10.48550/arxiv.0912.2441 · Cited by 29 · see citing works
Renormalization of noncommutative phi 4-theory by multi-scale analysis
Rivasseau, V., Vignes-Tourneret, F., & Wulkenhaar, R. (2005) · CERN Document Server (European Organization for Nuclear Research) · doi:10.48550/arxiv.hep-th/0501036 · Cited by 3 · see citing works
Renormalization of Non-Commutative Phi^4_4 Field Theory in x Space
Gurău, R., Magnen, J., Rivasseau, V., et al. (2005) · HAL (Le Centre pour la Communication Scientifique Directe) · doi:10.48550/arxiv.hep-th/0512271
Flagged first, then by citations
Research works printed but not linked: 7
- Di Francesco, P., Ginsparg, P.H., Zinn-Justin, J.: 2-D gravity and random matri- ces. Phys. Rept. 254, 1-133 (1995). [hep-th/9306153] · arXiv
- David, F.: A model of random surfaces with nontrivial critical behavior. Nucl. Phys. B 257, 543 (1985)
- Baratin, A., Oriti, D.: Group Field Theory with Non-Commutative Metric Vari- ables. [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
Cited by
Sorted by citations
The Spin-Foam Approach to Quantum Gravity
Perez, A. (2013) · Living Reviews in Relativity · doi:10.12942/lrr-2013-3 · Cited by 677 · see citing works
The nonperturbative functional renormalization group and its applications
Dupuis, N., Canet, L., Eichhorn, A., Metzner, W., Pawlowski, J. M., Tissier, M., & Wschebor, N. (2021) · Physics Reports · doi:10.1016/j.physrep.2021.01.001 · Cited by 660 · see citing works
Critical behavior of colored tensor models in the large N limit
Bonzom, V., Gurău, R., Riello, A., & Rivasseau, V. (2011) · Nuclear Physics B · doi:10.1016/j.nuclphysb.2011.07.022 · Cited by 363 · see citing works
The Complete 1/N Expansion of Colored Tensor Models in Arbitrary Dimension
Gurău, R. (2011) · Annales Henri Poincaré · doi:10.1007/s00023-011-0118-z · Cited by 321 · see citing works
Colored Tensor Models - a Review
Gurău, R. (2012) · Symmetry Integrability and Geometry Methods and Applications · doi:10.3842/sigma.2012.020 · Cited by 353 · see citing works
An SYK-like model without disorder
Witten, E. (2019) · Journal of Physics A Mathematical and Theoretical · doi:10.1088/1751-8121/ab3752 · Cited by 324 · see citing works
The 1/N expansion of colored tensor models in arbitrary dimension
Gurău, R., & Rivasseau, V. (2011) · Europhysics Letters (EPL) · doi:10.1209/0295-5075/95/50004 · Cited by 249 · see citing works
Random tensor models in the large N limit: Uncoloring the colored tensor models
Bonzom, V., Gurău, R., & Rivasseau, V. (2012) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.85.084037 · Cited by 242 · see citing works
An Asymptotically Safe Guide to Quantum Gravity and Matter
Eichhorn, A. (2019) · Frontiers in Astronomy and Space Sciences · doi:10.3389/fspas.2018.00047 · Cited by 239 · see citing works
A Renormalizable 4-Dimensional Tensor Field Theory
Geloun, J. B., & Rivasseau, V. (2012) · Communications in Mathematical Physics · doi:10.1007/s00220-012-1549-1 · Cited by 206 · see citing works
Towards a full solution of the large N double-scaled SYK model
Micha Berkooz, A., Isachenkov, M., Narovlansky, V., & Torrents, G. (2019) · Journal of High Energy Physics · doi:10.1007/jhep03(2019)079 · Cited by 188 · see citing works
The bulk dual of SYK: cubic couplings
Gross, D. J., & Rosenhaus, V. (2017) · Journal of High Energy Physics · doi:10.1007/jhep05(2017)092 · Cited by 178 · see citing works
Carrozza, S., & Tanasă, A. (2016) · Letters in Mathematical Physics · doi:10.1007/s11005-016-0879-x · Cited by 157 · see citing works
Gurău, R., & Ryan, J. P. (2013) · Annales Henri Poincaré · doi:10.1007/s00023-013-0291-3 · Cited by 148 · see citing works
Universality for random tensors
Gurău, R. (2014) · Annales de l Institut Henri Poincaré Probabilités et Statistiques · doi:10.1214/13-aihp567 · Cited by 144 · see citing works
Double scaling in tensor models with a quartic interaction
Dartois, S., Gurău, R., & Rivasseau, V. (2013) · Journal of High Energy Physics · doi:10.1007/jhep09(2013)088 · Cited by 133 · see citing works
Quantum chaos and holographic tensor models
Krishnan, C., Sanyal, S., & Subramanian, P. N. B. (2017) · Journal of High Energy Physics · doi:10.1007/jhep03(2017)056 · Cited by 133 · see citing works
Chord diagrams, exact correlators in spin glasses and black hole bulk reconstruction
Micha Berkooz, A., Narayan, P., & Simón, J. (2018) · Journal of High Energy Physics · doi:10.1007/jhep08(2018)192 · Cited by 123 · see citing works
Renormalization of a SU(2) Tensorial Group Field Theory in Three Dimensions
Carrozza, S., Oriti, D., & Rivasseau, V. (2014) · Communications in Mathematical Physics · doi:10.1007/s00220-014-1928-x · Cited by 116 · see citing works
A supersymmetric SYK-like tensor model
Peng, C., Spradlin, M., & Volovich, A. (2017) · Journal of High Energy Physics · doi:10.1007/jhep05(2017)062 · Cited by 114 · see citing works
The double scaling limit of random tensor models
Bonzom, V., Gurău, R., Ryan, J. P., & Tanasă, A. (2014) · Journal of High Energy Physics · doi:10.1007/jhep09(2014)051 · Cited by 113 · see citing works
3D Tensor Field Theory: Renormalization and One-Loop β-Functions
Geloun, J. B., & Samary, D. O. (2012) · Annales Henri Poincaré · doi:10.1007/s00023-012-0225-5 · Cited by 113 · see citing works
A generalization of the Virasoro algebra to arbitrary dimensions
Gurău, R. (2011) · Nuclear Physics B · doi:10.1016/j.nuclphysb.2011.07.009 · Cited by 108 · see citing works
Adaptation through chromosomal inversions in Anopheles
Ayala, D., Ullastres, A., & González, J. (2014) · Frontiers in Genetics · doi:10.3389/fgene.2014.00129 · Cited by 111 · see citing works
Rivasseau, V. (2013) · Fortschritte der Physik · doi:10.1002/prop.201300032 · Cited by 104 · see citing works
Renormalization of an SU(2) Tensorial Group Field Theory in Three Dimensions
Carrozza, S., Oriti, D., & Rivasseau, V. (2013) · MPG.PuRe (Max Planck Society) · Cited by 110 · see citing works
Renormalization of Tensorial Group Field Theories: Abelian U(1) Models in Four DimensionsPreprint
Carrozza, S., Oriti, D., & Rivasseau, V. (2016) · Cited by 109 · see citing works
Tensorial Methods and Renormalization in Group Field Theories
Carrozza, S. (2014) · Springer theses · doi:10.1007/978-3-319-05867-2 · Cited by 106 · see citing works
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 · see citing works
Tensor models and embedded Riemann surfaces
Ryan, J. P. (2012) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.85.024010 · Cited by 101 · see citing works
The 1/N Expansion of Tensor Models Beyond Perturbation Theory
Gurău, R. (2014) · Communications in Mathematical Physics · doi:10.1007/s00220-014-1907-2 · Cited by 95 · see citing works
Ten questions on Group Field Theory (and their tentative answers)
Baratin, A., & Oriti, D. (2012) · Journal of Physics: Conference Series · doi:10.1088/1742-6596/360/1/012002 · Cited by 100 · see citing works
How perturbative is quantum gravity?
Eichhorn, A., Lippoldt, S., Pawlowski, J. M., Reichert, M., & Schiffer, M. (2019) · Physics Letters B · doi:10.1016/j.physletb.2019.01.071 · Cited by 98 · see citing works
Revisiting random tensor models at large N via the Schwinger-Dyson equations
Bonzom, V. (2013) · Journal of High Energy Physics · doi:10.1007/jhep03(2013)160 · Cited by 96 · see citing works
Phase Diagram of Planar Matrix Quantum Mechanics, Tensor, and Sachdev-Ye-Kitaev Models
Tatsuo Azeyanagi, A., Ferrari, F. D., & Massolo, F. I. S. (2018) · Physical Review Letters · doi:10.1103/physrevlett.120.061602 · Cited by 96 · see citing works
Multi-orientable Group Field TheoryPreprint
Tanasă, A. (2012) · Cited by 96 · see citing works
Functional Renormalisation Group Approach for Tensorial Group Field Theory: a Rank-3 Model
Benedetti, D., Geloun, J. B., & Oriti, D. (2015) · Max Planck Digital Library · Cited by 95 · see citing works
Quantum chaos and holographic tensor models
Krishnan, C., Sanyal, S., & Subramanian, B. P. N. (2017) · NOT FOUND REPOSITORY (Indian Institute of Science Bangalore) · Cited by 94 · see citing works
Just Renormalizable TGFT’s on U(1) d with Gauge Invariance
Samary, D. O., & Vignes-Tourneret, F. (2014) · Communications in Mathematical Physics · doi:10.1007/s00220-014-1930-3 · Cited by 92 · see citing works
Notes on melonic O(N)q−1 tensor models
Choudhury, S., Dey, A., Halder, I., Janagal, L., Minwalla, S. N., & Poojary, R. R. (2018) · Journal of High Energy Physics · doi:10.1007/jhep06(2018)094 · Cited by 96 · see citing works
Counting tensor model observables and branched covers of the 2-sphere
Geloun, J. B., & Ramgoolam, S. (2014) · Annales de l’Institut Henri Poincaré D Combinatorics Physics and their Interactions · doi:10.4171/aihpd/4 · Cited by 91 · see citing works
Renormalization of Tensorial Group Field Theories: Abelian U(1) Models in Four Dimensions
Carrozza, S., Oriti, D., & Rivasseau, V. (2014) · Communications in Mathematical Physics · doi:10.1007/s00220-014-1954-8 · Cited by 90 · see citing works
Flowing in Group Field Theory Space: a Review
Universit&, Carrozza, S., #233, & Bordeaux, F. (2016) · Symmetry Integrability and Geometry Methods and Applications · doi:10.3842/sigma.2016.070 · Cited by 90 · see citing works
Radiative corrections in the Boulatov-Ooguri tensor model: The 2-point functionPreprint
Geloun, J. B., & Bonzom, V. (2016) · Cited by 90 · see citing works
Some classes of renormalizable tensor models
Geloun, J. B., & Livine, E. R. (2013) · Journal of Mathematical Physics · doi:10.1063/1.4818797 · Cited by 86 · see citing works
Universality and Borel summability of arbitrary quartic tensor models
Delepouve, T., Gurău, R., & Rivasseau, V. (2016) · Annales de l Institut Henri Poincaré Probabilités et Statistiques · doi:10.1214/14-aihp655 · Cited by 86 · see citing works
Riello, A. (2013) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.88.024011 · Cited by 85 · see citing works
Phase transition in dually weighted colored tensor models
Benedetti, D., & Gurău, R. (2011) · Nuclear Physics B · doi:10.1016/j.nuclphysb.2011.10.015 · Cited by 84 · see citing works
The Schwinger Dyson equations and the algebra of constraints of random tensor models at all orders
Gurău, R. (2012) · Nuclear Physics B · doi:10.1016/j.nuclphysb.2012.07.028 · Cited by 84 · see citing works
Rivasseau, V., & Wang, Z. (2013) · Annales Henri Poincaré · doi:10.1007/s00023-013-0299-8 · Cited by 84 · see citing works
Quantum Gravity and Renormalization: The Tensor TrackPreprint
Rivasseau, V. (2011) · Cited by 84 · see citing works
Renormalizable Models in Rank $${d \geq 2}$$ d ≥ 2 Tensorial Group Field Theory
Geloun, J. B. (2014) · Communications in Mathematical Physics · doi:10.1007/s00220-014-2142-6 · Cited by 88 · see citing works
The Ising model on random lattices in arbitrary dimensions
Bonzom, V., Gurău, R., & Rivasseau, V. (2012) · Physics Letters B · doi:10.1016/j.physletb.2012.03.054 · Cited by 82 · see citing works
CPHT, E. P., & Gurău, R. (2016) · Symmetry Integrability and Geometry Methods and Applications · doi:10.3842/sigma.2016.094 · Cited by 83 · see citing works
Two- and four-loop β-functions of rank-4 renormalizable tensor field theories
Geloun, J. B. (2012) · Classical and Quantum Gravity · doi:10.1088/0264-9381/29/23/235011 · Cited by 80 · see citing works
Continuum limit in matrix models for quantum gravity from the functional renormalization group
Eichhorn, A., & Koslowski, T. A. (2013) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.88.084016 · Cited by 78 · see citing works
New 1/N expansions in random tensor models
Bonzom, V. (2013) · Journal of High Energy Physics · doi:10.1007/jhep06(2013)062 · Cited by 77 · see citing works
Random matrices and holographic tensor models
Krishnan, C., Kumar, K. V., & Sanyal, S. (2017) · Journal of High Energy Physics · doi:10.1007/jhep06(2017)036 · Cited by 76 · see citing works
Multi-orientable group field theory
Tanasă, A. (2012) · Journal of Physics A Mathematical and Theoretical · doi:10.1088/1751-8113/45/16/165401 · Cited by 75 · see citing works
The large $D$ limit of planar diagrams
Ferrari, F. D. (2019) · Annales de l’Institut Henri Poincaré D Combinatorics Physics and their Interactions · doi:10.4171/aihpd/76 · Cited by 75 · see citing works
The 1/N Expansion of Multi-Orientable Random Tensor Models
Dartois, S., Rivasseau, V., & Tanasă, A. (2013) · Annales Henri Poincaré · doi:10.1007/s00023-013-0262-8 · Cited by 75 · see citing works
SYK-like tensor models on the lattice
Narayan, P., & Yoon, J. (2017) · Journal of High Energy Physics · doi:10.1007/jhep08(2017)083 · Cited by 73 · see citing works
Geloun, J. B., Martini, R., & Oriti, D. (2016) · Physical Review D · doi:10.1103/physrevd.94.024017 · Cited by 71 · see citing works
The Multi-Orientable Random Tensor Model, a Review
Univ. Bordeaux, F., & Tanasă, A. (2016) · Symmetry Integrability and Geometry Methods and Applications · doi:10.3842/sigma.2016.056 · Cited by 71 · see citing works
Rivasseau, V. (2013) · WORLD SCIENTIFIC eBooks · doi:10.1142/9789814518550_0011 · Cited by 70 · see citing works
SYK models and SYK-like tensor models with global symmetry
Yoon, J. (2017) · Journal of High Energy Physics · doi:10.1007/jhep10(2017)183 · Cited by 68 · see citing works
Benedetti, D., & Lahoche, V. (2016) · Classical and Quantum Gravity · doi:10.1088/0264-9381/33/9/095003 · Cited by 66 · see citing works
Samary, D. O., Pérez-Sánchez, C. I., Vignes-Tourneret, F., & Wulkenhaar, R. (2015) · Classical and Quantum Gravity · doi:10.1088/0264-9381/32/17/175012 · Cited by 65 · see citing works
Carrozza, S., & Oriti, D. (2012) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.85.044004 · Cited by 61 · see citing works
Gauge invariants, correlators and holography in bosonic and fermionic tensor models
Koch, R. D. M., Gossman, D., & Tribelhorn, L. (2017) · Journal of High Energy Physics · doi:10.1007/jhep09(2017)011 · Cited by 61 · see citing works
Enhancing non-melonic triangulations: A tensor model mixing melonic and planar maps
Bonzom, V., Delepouve, T., & Rivasseau, V. (2015) · Nuclear Physics B · doi:10.1016/j.nuclphysb.2015.04.004 · Cited by 61 · see citing works
Melonic Phase Transition in Group Field Theory
Baratin, A., Carrozza, S., Oriti, D., Ryan, J. P., & Smerlak, M. (2014) · Letters in Mathematical Physics · doi:10.1007/s11005-014-0699-9 · Cited by 59 · see citing works
Towards a double scaling limit for tensor models: probing sub-dominant orders
Kamiński, W., Oriti, D., & Ryan, J. P. (2014) · New Journal of Physics · doi:10.1088/1367-2630/16/6/063048 · Cited by 59 · see citing works
Carrozza, S., & Lahoche, V. (2017) · Classical and Quantum Gravity · doi:10.1088/1361-6382/aa6d90 · Cited by 59 · see citing works
Double scaling limit in arbitrary dimensions: A toy model
Gurău, R. (2011) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.84.124051 · Cited by 57 · see citing works
Tensor models, Kronecker coefficients and permutation centralizer algebras
Geloun, J. B., & Ramgoolam, S. (2017) · Journal of High Energy Physics · doi:10.1007/jhep11(2017)092 · Cited by 57 · see citing works
Closed equations of the two-point functions for tensorial group field theory
Samary, D. O. (2014) · Classical and Quantum Gravity · doi:10.1088/0264-9381/31/18/185005 · Cited by 55 · see citing works
A New Large N Expansion for General Matrix–Tensor Models
Ferrari, F. D., Rivasseau, V., & Valette, G. (2019) · Communications in Mathematical Physics · doi:10.1007/s00220-019-03511-7 · Cited by 55 · see citing works
Eichhorn, A., & Koslowski, T. (2014) · Physical Review D · doi:10.1103/physrevd.90.104039 · Cited by 51 · see citing works
On (q,t)-deformation of Gaussian matrix model
Morozov, A. A., Popolitov, A. V., & Shakirov, S. R. (2018) · Physics Letters B · doi:10.1016/j.physletb.2018.08.006 · Cited by 51 · see citing works
Multi-critical tensor models and hard dimers on spherical random lattices
Bonzom, V. (2012) · Physics Letters A · doi:10.1016/j.physleta.2012.12.022 · Cited by 50 · see citing works
Phase transition in tensor models
Delepouve, T., & Gurău, R. (2015) · Journal of High Energy Physics · doi:10.1007/jhep06(2015)178 · Cited by 50 · see citing works
The 1 / N Expansion of the Symmetric Traceless and the Antisymmetric Tensor Models in Rank Three
Benedetti, D., Carrozza, S., Gurău, R., & Kolanowski, M. (2019) · Communications in Mathematical Physics · doi:10.1007/s00220-019-03551-z · Cited by 50 · see citing works
On the finite amplitudes for open graphs in Abelian dynamical colored Boulatov–Ooguri models
Geloun, J. B. (2013) · Journal of Physics A Mathematical and Theoretical · doi:10.1088/1751-8113/46/40/402002 · Cited by 49 · see citing works
Krishnan, C., & Kumar, K. V. P. (2017) · NOT FOUND REPOSITORY (Indian Institute of Science Bangalore) · Cited by 48 · see citing works
Krishnan, C., Kumar, K. P., & Rosa, D. (2018) · NOT FOUND REPOSITORY (Indian Institute of Science Bangalore) · Cited by 47 · see citing works
Coupling of hard dimers to dynamical lattices via random tensors
Bonzom, V., & Erbin, H. (2012) · Journal of Statistical Mechanics Theory and Experiment · doi:10.1088/1742-5468/2012/09/p09009 · Cited by 46 · see citing works
Krishnan, C., Kumar, K. V. P., & Rosa, D. (2018) · Journal of High Energy Physics · doi:10.1007/jhep01(2018)064 · Cited by 45 · see citing works
Line of fixed points in a bosonic tensor model
Benedetti, D., Gurău, R., & Harribey, S. (2019) · Journal of High Energy Physics · doi:10.1007/jhep06(2019)053 · Cited by 49 · see citing works
The 1/N Expansion of Tensor Models with Two Symmetric Tensors
Gurău, R. (2017) · Communications in Mathematical Physics · doi:10.1007/s00220-017-3055-y · Cited by 44 · see citing works
Beta functions of U(1)d gauge invariant just renormalizable tensor models
Samary, D. O. (2013) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.88.105003 · Cited by 44 · see citing works
Phases of melonic quantum mechanics
Ferrari, F. D., & Massolo, F. I. S. (2019) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.100.026007 · Cited by 47 · see citing works
Renormalization of an Abelian tensor group field theory: solution at leading order
Lahoche, V., Oriti, D., & Rivasseau, V. (2015) · Journal of High Energy Physics · doi:10.1007/jhep04(2015)095 · Cited by 43 · see citing works
Towards Renormalizing Group Field Theory
Rivasseau, V. (2011) · Corfu Summer Institute School and Workshops on Elementary Particle Physics and Gravity (CORFU) · doi:10.22323/1.127.0004 · Cited by 43 · see citing works
Random Tensors and Quantum Gravity
Universit&, Rivasseau, V., #233, & Paris XI, F. (2016) · Symmetry Integrability and Geometry Methods and Applications · doi:10.3842/sigma.2016.069 · Cited by 43 · see citing works
Notes on matrix models (matrix musings)
Anninos, D., & Mühlmann, B. (2020) · Journal of Statistical Mechanics Theory and Experiment · doi:10.1088/1742-5468/aba499 · Cited by 47 · see citing works
Large N limit of irreducible tensor models: O(N) rank-3 tensors with mixed permutation symmetry
Carrozza, S. (2018) · Journal of High Energy Physics · doi:10.1007/jhep06(2018)039 · Cited by 42 · see citing works
Bubbles and jackets: new scaling bounds in topological group field theories
Carrozza, S., & Oriti, D. (2012) · Journal of High Energy Physics · doi:10.1007/jhep06(2012)092 · Cited by 41 · see citing works
Renormalization and Hopf algebraic structure of the five-dimensional quartic tensor field theory
Avohou, R. C., Rivasseau, V., & Tanasă, A. (2015) · Journal of Physics A Mathematical and Theoretical · doi:10.1088/1751-8113/48/48/485204 · Cited by 41 · see citing works
Benedetti, D., Carrozza, S., Gurău, R., & Sfondrini, A. (2018) · Journal of High Energy Physics · doi:10.1007/jhep01(2018)003 · Cited by 41 · see citing works
- 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 › Statistical and Nonlinear 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
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.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
