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

Details Vanishing of Beta Function of Non Commutative $Φ^4_4$ Theory to all orders Vanishing of Beta Function of Non Commutative $Φ^4_4$ Theory to all orders

2006-12-22

arxiv.org/abs/hep-th/0612251v1

Phys.Lett.B649:95-102,2007

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, 3 figures

Scientific paper

10.1016/j.physletb.2007.04.007

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.

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