Vanishing of Beta Function of Non Commutative $\Phi^4_4$ Theory to all orders - Archive ouverte HAL
Pré-Publication, Document De Travail Année : 2006

Vanishing of Beta Function of Non Commutative $\Phi^4_4$ Theory to all orders

Résumé

The simplest non commutative renormalizable field theory, the $\phi_4$ model on four dimensional Moyal space with harmonic potential is asymptotically safe up to three loops, as shown by H. Grosse and R. Wulkenhaar, M. Disertori and V. Rivasseau. We extend this result to all orders.

Dates et versions

hal-00165680 , version 1 (27-07-2007)

Identifiants

Citer

M. Disertori, R. Gurau, J. Magnen, V. Rivasseau. Vanishing of Beta Function of Non Commutative $\Phi^4_4$ Theory to all orders. 2006. ⟨hal-00165680⟩
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