170 citations · 770 across the 19 of their papers we have counts for
4 papers · 1 filter
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…
A translation-invariant renormalizable non-commutative scalar model
R. Gurau, J. Magnen, V. Rivasseau +1
In this paper we propose a translation-invariant scalar model on the Moyal space. We prove that this model does not suffer from the UV/IR mixing and we establish its renormalizabil…