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

Henri Epstein; Jacques Bros; Michel Gaudin; Ugo Moschella; Vincent Pasquier

arxiv: 1107.5161 · v1 · pith:7FK6SBF3new · submitted 2011-07-26 · ✦ hep-th · math-ph· math.MP

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

Jacques Bros , Henri Epstein , Michel Gaudin , Ugo Moschella , Vincent Pasquier This is my paper

classification ✦ hep-th math-phmath.MP

keywords sitteranti-declassfieldfunctionshypergeometricidentitiesquantum

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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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