Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2007-10-15
Annales Henri Poincare 9:65-90,2008
Physics
High Energy Physics
High Energy Physics - Theory
29 pages, 3 figures to appear in Annales Henri Poincare
Scientific paper
10.1007/s00023-007-0350-8
In this paper we prove that the Grosse-Wulkenhaar type non-commutative
orientable complex scalar $\phi^6_3$ 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.
Wan Shaolong
Wang Zhituo
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