The Hadamard Function and the Feynman Propagator in the AdS/CFT Correspondence
arXiv:hep-th/9909186 · doi:10.1016/S0370-2693(99)01260-5
Abstract
We construct the retarded Green function and the Hadamard function in the Lorentzian (d+1)-dimensional anti-de Sitter spacetime for the Poincaré coordinate by performing the mode integration directly. We explore the structure of singularities for the position-space Feynman propagator derived from them. The boundary scaling limits of the bulk Feynman propagator yield the bulk-boundary propagator and the boundary conformal correlation function with an extra factor.
11 pages, LaTeX2e, no figures
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