Constructive Renormalization of the Noncommutative Quantum Field Theory

Zhituo Wang  (East China Normal University)

10:00 am - 11:00 am, May 5th, 2016   Science Building A1510

Abstract:

I will talk about the recent advancement in the construction of the 4 dimensional Grosse-Wulkenhaar model, which is a quantum field theory model defined on the 4 dimensional non-commutative Moyal space $R^4_\theta. This model is exactly solvable and the 2 point and 4 point correlation functions are proved to satisfy the Osterwalder-Schrader axioms, in the infinite volume limit, due to the recent breakthrough of Grosse and Wulkenhaar. Hence it is possible to fully construct this model in 4 dimensional Minkowski space-time. I will also talk about the limit of their method and the construction of this model with multi-scale loop vertex expansions.

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