385 citations · 4.3k across the 93 of their papers we have counts for
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The Tensor Track VII: From Quantum Gravity to Artificial Intelligence
Mohamed Ouerfelli, Vincent Rivasseau, Mohamed Tamaazousti
Assuming some familiarity with quantum field theory and with the tensor track approach that one of us presented in the previous series Tensor Track I to VI, we provide, as usual, t…
The Tensor Track VI: Field Theory on Random Trees and SYK on Random Unicyclic Graphs
Nicolas Delporte, Vincent Rivasseau
We review the paper [arXiv:1905.12783] and discuss some comments about SYK on random unicycle.
Perturbative Quantum Field Theory on Random Trees
Nicolas Delporte, Vincent Rivasseau
In this paper we start a systematic study of quantum field theory on random trees. Using precise probability estimates on their Galton-Watson branches and a multiscale analysis, we…
The Tensor Track V: Holographic Tensors
Nicolas Delporte, Vincent Rivasseau
We review the fast developing subject of tensor models for the NAdS/NCFT holographic correspondence. We include a brief review of the Sachdev-Ye-Kitaev (SYK) model and then…
A Renormalizable SYK-type Tensor Field Theory
Joseph Ben Geloun, Vincent Rivasseau
In this paper we introduce a simple field theoretic version of the Carrozza-Tanasa-Klebanov-Tarnopolsky (CTKT) "uncolored" holographic tensor model. It gives a more familiar interp…
A New Large N Expansion for General Matrix-Tensor Models
Frank Ferrari, Vincent Rivasseau, Guillaume Valette
We define a new large limit for general or invariant tensor models, based on an enhanced large scaling of the coupling constants. The re…
The Tensor Track, IV
Vincent Rivasseau
This note is a sequel to the previous series "Tensor Track I-III". Assuming some familiarity with the tensor track approach to quantum gravity, we provide a brief introduction to t…
Why are tensor field theories asymptotically free?
Vincent Rivasseau
In this pedagogic letter we explain the combinatorics underlying the generic asymptotic freedom of tensor field theories. We focus on simple combinatorial models with a pro…
Renormalization of an Abelian Tensor Group Field Theory: Solution at Leading Order
Vincent Lahoche, Daniele Oriti, Vincent Rivasseau
We study a just renormalizable tensorial group field theory of rank six with quartic melonic interactions and Abelian group U(1). We introduce the formalism of the intermediate fie…
The Tensor Theory Space
Vincent Rivasseau
The tensor track is a background-independent discretization of quantum gravity which includes a sum over all topologies. We discuss how to define a functional renormalization group…
Universality and Borel Summability of Arbitrary Quartic Tensor Models
Thibault Delepouve, Razvan Gurau, Vincent Rivasseau
We extend the study of \emph{melonic} quartic tensor models to models with arbitrary quartic interactions. This extension requires a new version of the loop vertex expansion using…
Renormalization: an advanced overview
Razvan Gurau, Vincent Rivasseau, Alessandro Sfondrini
We present several approaches to renormalization in QFT: the multi-scale analysis in perturbative renormalization, the functional methods à la Wetterich equation, and the loop-vert…
The Tensor Track, III
Vincent Rivasseau
We provide an informal up-to-date review of the tensor track approach to quantum gravity. In a long introduction we describe in simple terms the motivations for this approach. Then…
Double Scaling in Tensor Models with a Quartic Interaction
Stephane Dartois, Razvan Gurau, Vincent Rivasseau
In this paper we identify and analyze in detail the subleading contributions in the 1/N expansion of random tensors, in the simple case of a quartically interacting model. The lead…
Renormalization of an SU(2) Tensorial Group Field Theory in Three Dimensions
Sylvain Carrozza, Daniele Oriti, Vincent Rivasseau
We address in this paper the issue of renormalizability for SU(2) Tensorial Group Field Theories (TGFT) with geometric Boulatov-type conditions in three dimensions. We prove that t…
The 1/N expansion of multi-orientable random tensor models
S. Dartois, V. Rivasseau, A. Tanasa
Multi-orientable group field theory (GFT) has been introduced in A. Tanasa, J. Phys. A 45 (2012) 165401, arXiv:1109.0694, as a quantum field theoretical simplification of GFT, whic…
The Tensor Track: an Update
Vincent Rivasseau
The tensor track approach to quantum gravity is based on a new class of quantum field theories, called tensor group field theories (TGFTs). We provide a brief review of recent prog…
Renormalization of Tensorial Group Field Theories: Abelian U(1) Models in Four Dimensions
Sylvain Carrozza, Daniele Oriti, Vincent Rivasseau
We tackle the issue of renormalizability for Tensorial Group Field Theories (TGFT) including gauge invariance conditions, with the rigorous tool of multi-scale analysis, to prepare…
Random tensor models in the large N limit: Uncoloring the colored tensor models
Valentin Bonzom, Razvan Gurau, Vincent Rivasseau
Tensor models generalize random matrix models in yielding a theory of dynamical triangulations in arbitrary dimensions. Colored tensor models have been shown to admit a 1/N expansi…
Quantum Gravity and Renormalization: The Tensor Track
Vincent Rivasseau
We propose a new program to quantize and renormalize gravity based on recent progress on the analysis of large random tensors. We compare it briefly with other existing approaches.
A Renormalizable 4-Dimensional Tensor Field Theory
Joseph Ben Geloun, Vincent Rivasseau
We prove that an integrated version of the Gurau colored tensor model supplemented with the usual Bosonic propagator on is renormalizable to all orders in perturbation the…
The Ising Model on Random Lattices in Arbitrary Dimensions
Valentin Bonzom, Razvan Gurau, Vincent Rivasseau
We study analytically the Ising model coupled to random lattices in dimension three and higher. The family of random lattices we use is generated by the large N limit of a colored…
Critical behavior of colored tensor models in the large N limit
Valentin Bonzom, Razvan Gurau, Aldo Riello +1
Colored tensor models have been recently shown to admit a large N expansion, whose leading order encodes a sum over a class of colored triangulations of the D-sphere. The present p…
EPRL/FK Group Field Theory
Joseph Ben Geloun, Razvan Gurau, Vincent Rivasseau
The purpose of this short note is to clarify the Group Field Theory vertex and propagators corresponding to the EPRL/FK spin foam models and to detail the subtraction of leading di…