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Pré-Publication, Document De Travail Année : 2006

Two and Three Loops Beta Function of Non Commutative $\Phi^4_4$ Theory

Résumé

The simplest non commutative renormalizable field theory, the $\phi_4^4$ model on four dimensional Moyal space with harmonic potential is asymptotically safe at one loop, as shown by H. Grosse and R. Wulkenhaar. We extend this result up to three loops. If this remains true at any loop, it should allow a full non perturbative construction of this model.

Dates et versions

hal-00118893 , version 1 (07-12-2006)

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Margherita Disertori, Vincent Rivasseau. Two and Three Loops Beta Function of Non Commutative $\Phi^4_4$ Theory. 2006. ⟨hal-00118893⟩
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