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Rationality of conformally invariant local correlation functions on compactified Minkowski space. (English) Zbl 0985.81055
Summary: Rationality of the Wightman functions is proven to follow from energy positivity, locality and a natural condition of global conformal invariance (GCI) in any number D of spacetime dimension. The GCI condition allows to treat correlation functions as generalized sections of a vector bundle over the compactification M of Minkowski space M and yields a strong form of locality valid for all non-isotropic intervals if assumed true for space-like separations.

MSC:
81T05Axiomatic quantum field theory; operator algebras
81T40Two-dimensional field theories, conformal field theories, etc.