The Hadamard Function and the Feynman Propagator in the AdS/CFT Correspondence

Details The Hadamard Function and the Feynman Propagator in the AdS/CFT Correspondence The Hadamard Function and the Feynman Propagator in the AdS/CFT Correspondence

1999-09-27

arxiv.org/abs/hep-th/9909186v1

Phys.Lett. B469 (1999) 87-95

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, LaTeX2e, no figures

Scientific paper

10.1016/S0370-2693(99)01260-5

We construct the retarded Green function and the Hadamard function in the Lorentzian (d+1)-dimensional anti-de Sitter spacetime for the Poincar\'e 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.

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