Exorcizing the Landau Ghost in Non Commutative Quantum Field Theory

Abstract

We show that the simplest non commutative renormalizable field theory, the ${\varphi }^4$ model on four dimensional Moyal space with harmonic potential is asymptotically safe to all orders in perturbation theory

References in corpus (2)

• Vanishing of Beta Function of Non Commutative ${\Phi }_4^4$ Theory to all orders
• Non-Commutative Complete Mellin Representation for Feynman Amplitudes