Bulk gravity propagators from boundary Feynman graphs

Abstract

The AdS/CFT correspondence relates the correlation functions in a d-dimensional conformal field theory (CFT) to the propagators of corresponding bulk fields in an d+1 dimensional Anti-de-Sitter (AdS) space-time on the boundary of which the CFT is placed. This thesis is about generalizing this correspondence to perturbative quantum field theories (QFTs) and deriving the corresponding bulk propagators, in an a priori unknown d+1 dimensional geometry, directly from the Feynman diagrams of the QFT. We show in detail how this can be done for the two-point functions of composite operators of massive scalar fields.