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Vanishing of Beta Function of Non Commutative $\Phi^4_4$ Theory to all orders
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abstract
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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Cited by 1 Pith paper
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Solution of the self-dual $\Phi^4$ QFT-model on four-dimensional Moyal space
The planar sector of the self-dual Φ^4 model on 4D Moyal space is solved in closed form by a hypergeometric function, and the model's spectral dimension is proven to be 4 - (2/π) arcsin(λπ).
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