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Zbl 0985.81055
Nikolov, Nikolay M.; Todorov, Ivan T.
Rationality of conformally invariant local correlation functions on compactified Minkowski space. (English)
[J] Commun. Math. Phys. 218, No.2, 417-436 (2001). ISSN 0010-3616; ISSN 1432-0916/e

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 2000:: *81T05 Axiomatic quantum field theory
81T40 Two-dimensional field theories, etc.

Keywords: Wightman functions; energy positivity; locality; global conformal invariance; vector bundle over the compactification $M$ of Minkowski space

Cited in: Zbl 1122.81072

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