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Rationality of conformally invariant local correlation functions on compactified Minkowski space

Nikolay M. Nikolov·Ivan T. Todorov
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Abstract

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 space-time dimensions. The GCI condition allows to treat correlation functions as generalized sections of a vector bundle over the compactification of Minkowski space and yields a strong form of locality valid for all non-isotropic intervals if assumed true for space-like separations.

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Nikolay M. Nikolov, Ivan T. Todorov. 2000-10-23. Rationality of conformally invariant local correlation functions on compactified Minkowski space. https://doi.org/10.1007/s002200100414

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