Anti de Sitter quantum field theory and a new class of hypergeometric identities

Details Anti de Sitter quantum field theory and a new class of hypergeometric identities Anti de Sitter quantum field theory and a new class of hypergeometric identities

2011-07-26

arxiv.org/abs/1107.5161v1

Physics

High Energy Physics

High Energy Physics - Theory

Scientific paper

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.

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