Rationality of conformally invariant local correlation functions on compactified Minkowski space

Sep, 2000
19 pages
Published in:
  • Commun.Math.Phys. 218 (2001) 417-436
e-Print:

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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.
Note:
  • 20 pages, LATEX, amsfonts, latexsym Subj-class: High Energy Physics - Theory: Mathematical Physics: Quantum Algebra: Differential Geometry Journal-ref: Commun.Math.Phys. 218 (2001) 417-436 DOI: 10.1007/s002200100414
  • axiomatic field theory
  • n-point function
  • analytic properties
  • transformation: conformal
  • boundary condition
  • expansion: cluster