ar X iv : 0 71 0 . 26 52 v 1 [ he p - th ] 1 5 O ct 2 00 7 Renormalization of Orientable Non - Commutative Complex Φ 63 Model
نویسنده
چکیده
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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