Renormalization of Orientable Non-Commutative Complex Φ 63 Model

  title={Renormalization of Orientable Non-Commutative Complex Φ 63 Model},
  author={Zhituo Wang and Shaolong Wan},
In this paper we prove that the Grosse-Wulkenhaar type non-commutative orientable complex scalar φ3 theory, with two non-commutative coordinates and the third one commuting with the other two, is renormalizable to all orders in perturbation theory. Our proof relies on a multiscale analysis in x space. 
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