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arxiv: hep-th/0009004 · v4 · submitted 2000-09-01 · ✦ hep-th · math-ph· math.DG· math.MP· math.QA

Rationality of conformally invariant local correlation functions on compactified Minkowski space

Nikolay M. Nikolov , Ivan T. Todorov This is my paper
classification ✦ hep-th math-phmath.DGmath.MPmath.QA
keywords functionsconditioncorrelationlocalityminkowskirationalityspaceallows
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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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