170 citations · 770 across the 19 of their papers we have counts for
12 papers · 1 filter
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…
Scaling behaviour of three-dimensional group field theory
Jacques Magnen, Karim Noui, Vincent Rivasseau +1
Group field theory is a generalization of matrix models, with triangulated pseudomanifolds as Feynman diagrams and state sum invariants as Feynman amplitudes. In this paper, we con…
Commutative limit of a renormalizable noncommutative model
Jacques Magnen, Vincent Rivasseau, Adrian Tanasa
Renormalizable models on Moyal space have been obtained by modifying the commutative propagator. But these models have a divergent "naive" commutative limit. We exp…
Vanishing beta function for Grosse-Wulkenhaar model in a magnetic field
Joseph Ben Geloun, Razvan Gurau, Vincent Rivasseau
We prove that the beta function of the Grosse-Wulkenhaar model including a magnetic field vanishes at all order of perturbations. We compute the renormalization group flow of the r…
Color Grosse-Wulkenhaar models: One-loop -functions
Joseph Ben Geloun, Vincent Rivasseau
The -functions of O(N) and U(N) invariant Grosse-Wulkenhaar models are computed at one loop using the matrix basis. In particular, for ``parallel interactions", the model is pro…
Renormalisation of non-commutative field theories
Vincent Rivasseau, Fabien Vignes-Tourneret
The first renormalisable quantum field theories on non-commutative space have been found recently. We review this rapidly growing subject.