Anti de Sitter quantum field theory and a new class of hypergeometric identities
High Energy Physics - Theory
2015-05-28 v1 Mathematical Physics
math.MP
Abstract
We use Anti-de Sitter quantum field theory to prove a new class of identities between hypergeometric functions related to the K\"all\'en-Lehmann representation of products of two Anti-de Sitter two-point functions. A rich mathematical structure emerges. We apply our results to study the decay of unstable Anti-de Sitter particles. The total amplitude is in this case finite and Anti-de Sitter invariant.
Keywords
Cite
@article{arxiv.1107.5161,
title = {Anti de Sitter quantum field theory and a new class of hypergeometric identities},
author = {Jacques Bros and Henri Epstein and Michel Gaudin and Ugo Moschella and Vincent Pasquier},
journal= {arXiv preprint arXiv:1107.5161},
year = {2015}
}