Vanishing of Beta Function of Non Commutative 44 Theory to all orders
Abstract
The simplest non commutative renormalizable field theory, the φ4 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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