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Stochastic quantization of conformally coupled scalar in AdS

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arxiv 1305.2008 v1 pith:IKBNTUXJ submitted 2013-05-09 hep-th

Dileep P. Jatkar , Jae-Hyuk Oh This is my paper · ORCID
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keywords scalarstochasticconformallycoupledflowquantizationarxivbulk
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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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  1. Tree-level four-point function for a scalar field conformally coupled to Einstein's gravity on Euclidean AdS4

    hep-th 2025-01 conditional novelty 6.0 of 10

    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.

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