114 citations · 163 across the 4 of their papers we have counts for
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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…
Renormalization of Non-Commutative Phi^4_4 Field Theory in x Space
Razvan Gurau, Jacques Magnen, Vincent Rivasseau +1
In this paper we provide a new proof that the Grosse-Wulkenhaar non-commutative scalar Phi^4_4 theory is renormalizable to all orders in perturbation theory, and extend it to more…