Why Renormalizable NonCommutative Quantum Field Theories?

Vincent Rivasseau (1)

1 LPT - Laboratoire de Physique Théorique d'Orsay [Orsay]

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.

Domaines: Physique mathématique [math-ph]; Physique mathématique [math-ph]

Vincent Rivasseau. Why Renormalizable NonCommutative Quantum Field Theories?. 2007. ⟨hal-00186955⟩