170 citations · 770 across the 19 of their papers we have counts for
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Vanishing of Beta Function of Non Commutative Theory to all orders
M. Disertori, R. Gurau, J. Magnen +1
The simplest non commutative renormalizable field theory, the model on four dimensional Moyal space with harmonic potential is asymptotically safe up to three loops, as shown…
Two and Three Loops Beta Function of Non Commutative Theory
Margherita Disertori, Vincent Rivasseau
The simplest non commutative renormalizable field theory, the model on four dimensional Moyal space with harmonic potential is asymptotically safe at one loop, as shown by…
Parametric Representation of Noncommutative Field Theory
Razvan Gurau, Vincent Rivasseau
In this paper we investigate the Schwinger parametric representation for the Feynman amplitudes of the recently discovered renormalizable quantum field theory on the Moyal…
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…