## 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:

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