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

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.

References in corpus (2)

• Constructing local bulk observables in interacting AdS/CFT
• Lifetime of a massive particle in a de Sitter universe

Cited by in corpus (6)

• Vacuum currents in braneworlds on AdS bulk with compact dimensions
• Comparative study of loop contributions in AdS and dS
• On interacting quantum fields in various charts of anti de Sitter space-time
• Propagators in curved spacetimes from operator theory
• Finite-coupling spectrum of O(N) model in AdS
• De Sitter scattering amplitudes in the Born approximation