A note on the analyticity of AdS scalar exchange graphs in the crossed channel
High Energy Physics - Theory
2009-10-31 v1
Abstract
We discuss the analytic properties of AdS scalar exchange graphs in the crossed channel. We show that the possible non-analytic terms drop out by virtue of non-trivial properties of generalized hypergeometric functions. The absence of non-analytic terms is a necessary condition for the existence of an operator product expansion for CFT amplitudes obtained from AdS/CFT correspondence.
Keywords
Cite
@article{arxiv.hep-th/0002025,
title = {A note on the analyticity of AdS scalar exchange graphs in the crossed channel},
author = {L. Hoffmann and A. C. Petkou and W. Ruehl},
journal= {arXiv preprint arXiv:hep-th/0002025},
year = {2009}
}
Comments
9 pages, LaTeX