Propagators and Matrix Basis on Noncommutative Minkowski Space

Understand

We describe an analytic continuation of the Euclidean Grosse-Wulkenhaar and LSZ models which defines a one-parameter family of duality covariant noncommutative field theories interpolating between Euclidean and Minkowski space versions of these models, and provides an alternative regularization to the usual Feynman prescription.

• This regularization allows for a matrix model representation of the field theories in terms of a complex generalization of the usual basis of Landau wavefunctions.
• The corresponding propagators are calculated and identified with the Feynman propagators of the field theories.
• The regulated quantum field theories are shown to be UV/IR-duality covariant.