385 citations · 4.3k across the 93 of their papers we have counts for
9 papers · 1 filter
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…
Parametric Cutoffs for Interacting Fermi Liquids
Margherita Disertori, Jacques Magnen, Vincent Rivasseau
We introduce a new multiscale decomposition of the Fermi propagator based on its parametric representation. We prove that the corresponding sliced propagator obeys the same direct…
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…
Constructive Renormalization for Theory with Loop Vertex Expansion
Vincent Rivasseau, Zhituo Wang
In this paper we construct the 2 dimensional Euclidean quantum field theory using the method of loop vertex expansion. We reproduce the results of standard constructive theor…
Towards Renormalizing Group Field Theory
Vincent Rivasseau
We review some aspects of non commutative quantum field theory and group field theory, in particular recent progress on the systematic study of the scaling and renormalization prop…
Introduction to the Renormalization Group with Applications to Non-Relativistic Quantum Electron Gases
Vincent Rivasseau
We review the rigorous work on many Fermions models which lead to the first constructions of interacting Fermi liquids in two dimensions, and allowed to prove that there are differ…
The 1/N expansion of colored tensor models in arbitrary dimension
Razvan Gurau, Vincent Rivasseau
In this paper we extend the 1/N expansion introduced in [1] to group field theories in arbitrary dimension and prove that only graphs corresponding to spheres S^D contribute to the…