Connecting the Holographic and Wilsonian Renormalization Groups

Details Connecting the Holographic and Wilsonian Renormalization Groups Connecting the Holographic and Wilsonian Renormalization Groups

2011-05-29

arxiv.org/abs/1105.5825v4

JHEP 1112:023, 2011

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, 1 figure; metadata modified in v2; added references and minor changes in v3; v4 as published in JHEP

Scientific paper

10.1007/JHEP12(2011)023

Inspired by the AdS/CFT correspondence, we develop an explicit formal duality between the planar limit of a d-dimensional gauge theory and a classical field theory in a (d+1)-dimensional anti-de Sitter space. The key ingredient is the identification of fields in AdS with generalized Hubbard-Stratonovich transforms of single-trace couplings of the QFT. We show that the Wilsonian renormalization group flow of these transformed couplings matches the holographic (Hamilton-Jacobi) flow of bulk fields along the radial direction in AdS. This result allows one to outline an AdS/CFT dictionary that does not rely on string theory.

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