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Anti de Sitter Quantum Field Theory and a New Class of Hypergeometric Identities |
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| Authors: | Jacques?Bros |
| Institution: | 1.Institut de Physique Théorique,CEA,Saclay,France;2.Institut des Hautes études Scientifiques,Bures-sur-Yvette,France;3.Università dell’Insubria,Como,Italy;4.INFN,Milan,Italy |
| Abstract: | We use Anti-de Sitter quantum field theory to prove a new class of identities between hypergeometric functions related to the Källén-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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