Anti de Sitter quantum field theory and a new class of hypergeometric identities
Jacques Bros, Henri Epstein, Michel Gaudin, Ugo Moschella, Vincent, Pasquier
TL;DR
This paper uses Anti-de Sitter quantum field theory to establish new hypergeometric identities, revealing a rich mathematical structure and applying these results to analyze the decay of unstable particles in Anti-de Sitter space.
Contribution
It introduces a novel class of hypergeometric identities derived from Anti-de Sitter quantum field theory, connecting mathematical structures with physical decay processes.
Findings
New hypergeometric identities related to AdS two-point functions
Finite, invariant total amplitude for unstable AdS particles
Emergence of a rich mathematical structure in the analysis
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.
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