Renormalization of Orientable Non-Commutative Complex ${\Phi }_3^6$ Model

Abstract

In this paper we prove that the Grosse-Wulkenhaar type non-commutative orientable complex scalar ${\varphi }_3^6$ 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.

29 pages, 3 figures to appear in Annales Henri Poincare

References in corpus (1)

• Renormalization of noncommutative phi 4-theory by multi-scale analysis

Cited by in corpus (3)

• Duality covariant quantum field theory on noncommutative Minkowski space
• On the Renormalization of Non-Commutative Field Theories
• Constructive Renormalization of the $2$-dimensional Grosse-Wulkenhaar Model