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We solve the closed Schwinger-Dyson equation for the 2-point function of a tensor field theory with a quartic melonic interaction, in terms of Lambert's W-function, using a perturbative expansion and Lagrange-B\"{u}rmann resummation.
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Harald Grosse and Raimar Wulkenhaar · 1906
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“Lambert-W Solves the Noncommutative Φ 4 \varPhi^{4} -Model”
Erik Panzer and Raimar Wulkenhaar · 1961
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“Gapless spin fluid ground state in a random, quantum Heisenberg magnet” arXiv:cond-mat/9212030
S. Sachdev and J. Ye · 1993
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“Concrete Mathematics: A Foundation for Computer Science”
Ronald. Graham, Donald. Knuth and Oren Patashnik · 1994
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“On the LambertW function”
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“Vanishing of Beta Function of Non Commutative Phi**4(4) Theory to all orders”
M. Disertori, R. Gurau, J. Magnen and V. Rivasseau · 2007
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“Colored Group Field Theory”
Razvan Gurau · 2011
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“A Renormalizable 4-Dimensional Tensor Field Theory”
Joseph Ben and Vincent Rivasseau · 2013
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“Tensorial methods and renormalization in Group Field Theories”, 2014
Sylvain 0cmCarrozza · 2014
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“Closed equations of the two-point functions for tensorial group field theory”
Dine Samary · 2014
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“A simple model of quantum holography” KITP, 2015
A. Kitaev · 2015
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“Correlation functions of a just renormalizable tensorial group field theory: the melonic approximation”
Dine Ousmane, Carlos. Pérez-Sánchez, Fabien Vignes-Tourneret and Raimar Wulkenhaar · 2015
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“ O ( N ) O(N) Random Tensor Models”
Sylvain Carrozza and Adrian Tanasa · 2016
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“Remarks on the Sachdev-Ye-Kitaev model”
Juan Maldacena and Douglas Stanford · 2016
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“Flowing in Group Field Theory Space: a Review”
Sylvain Carrozza · 2016
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“Exact Renormalisation Group Equations and Loop Equations for Tensor Models”
Thomas Krajewski and Reiko Toriumi · 2016
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“Random Tensors”
Razvan Gurau · 2017
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“Uncolored random tensors, melon diagrams, and the Sachdev-Ye-Kitaev models”
Igor. Klebanov and Grigory Tarnopolsky · 2017
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“All point correlation functions in SYK”
“The Tensor Track V: Holographic Tensors”
Nicolas Delporte and Vincent Rivasseau · 2018
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“2PI effective action for the SYK model and tensor field theories”
Dario Benedetti and Razvan Gurau · 2018
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“A Renormalizable SYK-type Tensor Field Theory”
Joseph Ben and Vincent Rivasseau · 2018
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“The full Ward-Takahashi Identity for colored tensor models”
Carlos. Pérez-Sánchez · 2018
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Carlos. Pérez-Sánchez · 2018
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“Blobbed topological recursion for the quartic melonic tensor model”
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“The complete 1 / N 1/N expansion of a SYK–like tensor model”
Razvan Gurau · 2017
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“Diagrammatics of a colored SYK model and of an SYK-like tensor model, leading and next-to-leading orders”
Valentin Bonzom, Luca Lionni and Adrian Tanasa · 2017
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“Correlation functions of U ( N ) (N) -tensor models and their Schwinger-Dyson equations ”, 2017
Romain Pascalie, Carlos. Pérez-Sánchez and Raimar Wulkenhaar · 2017
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“TASI Lectures on Large N N Tensor Models”
Igor. Klebanov, Fedor Popov and Grigory Tarnopolsky · 2018
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“Nouvelle méthode pour résoudre des équations littérales par le moyen de séries”
J.. Lagrange
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Valentin Bonzom and Stephane Dartois · 2018
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“On the large N limit of Schwinger-Dyson equations of a rank-3 tensor field theory”
R. Pascalie, C.. Pérez-Sánchez, A. Tanasa and R. Wulkenhaar · 2019
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