Duality covariant quantum field theory on noncommutative Minkowski space

作者：Fischer Andre^*; Szabo Richard J

来源：The Journal of High Energy Physics, 2009, 2009(2): 031.

DOI：10.1088/1126-6708/2009/02/031

• Matrix Models
• Non-Commutative Geometry
• Renormalization Regularization and Renormalons

We prove that a scalar quantum field theory defined on noncommutative Minkowski spacetime with noncommuting momentum coordinates is covariant with respect to the UV/IR duality which exchanges coordinates and momenta. The proof is based on suitable resonance expansions of charged noncommutative scalar fields in a background electric field, which yields an effective description of the field theory in terms of a coupled complex two-matrix model. The two independent matrix degrees of freedom ensure unitarity and manifest CT-invariance of the field theory. The formalism describes an analytic continuation of the renormalizable Grosse-Wulkenhaar models to Minkowski signature.

• 出版日期2009-2