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.


81T05 Axiomatic quantum field theory; operator algebras
81T40 Two-dimensional field theories, conformal field theories, etc. in quantum mechanics
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