A momentum-space formula is derived for the tree-level four-point boundary correlator of a conformally coupled scalar with graviton exchange in Euclidean AdS4.
Stochastic quantization of conformally coupled scalar in AdS
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abstract
We explore the relation between stochastic quantization and holographic Wilsonian renormalization group flow further by studying conformally coupled scalar in $AdS_{d+1}$. We establish one to one mapping between the radial flow of its double trace deformation and stochastic 2-point correlation function. This map is shown to be identical, up to a suitable field re-definition of the bulk scalar, to the original proposal in arXiv:1209.2242.
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Tree-level four-point function for a scalar field conformally coupled to Einstein's gravity on Euclidean AdS4
A momentum-space formula is derived for the tree-level four-point boundary correlator of a conformally coupled scalar with graviton exchange in Euclidean AdS4.