Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2011-06-30
Physics
High Energy Physics
High Energy Physics - Theory
45 pages; v2: clarifying comments added; v3: further clarifying comments added; Final version published in Physical Review D
Scientific paper
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. We study the asymptotics of the regularized propagators in position and matrix space representations, and confirm that they generically possess a comparably good decay behaviour as in the Euclidean case.
Fischer Andre
Szabo Richard J.
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