Why Renormalizable NonCommutative Quantum Field Theories?

Abstract

We complete our previous recent review on noncommutative field theory, discussing in particular the constructive aproach to the Grosse-Wulkenhaar theory. We also suggest that by gluing together many Grosse-Wulkenhaar theories at high energy one can obtain an effective commutative field theory at lower energy.

27 pages, 2 figures

References in corpus (3)

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

Cited by in corpus (1)

• Twisted Noncommutative Field Theory with the Wick-Voros and Moyal Products