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

Abstract

The simplest non commutative renormalizable field theory, the ${\varphi }_4$ 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.

12 pages, 3 figures

References in corpus (2)

• Two and Three Loops Beta Function of Non Commutative ${\Phi }_4^4$ Theory
• Parametric Representation of Noncommutative Field Theory

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