Rationality of conformally invariant local correlation functions on compactified Minkowski space
High Energy Physics - Theory
2007-05-23 v4 Mathematical Physics
Differential Geometry
math.MP
Quantum Algebra
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.
Keywords
Cite
@article{arxiv.hep-th/0009004,
title = {Rationality of conformally invariant local correlation functions on compactified Minkowski space},
author = {Nikolay M. Nikolov and Ivan T. Todorov},
journal= {arXiv preprint arXiv:hep-th/0009004},
year = {2007}
}
Comments
20 pages, LATEX, amsfonts, latexsym