Connecting the Holographic and Wilsonian Renormalization Groups
High Energy Physics - Theory
2012-02-22 v4
Abstract
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.
Cite
@article{arxiv.1105.5825,
title = {Connecting the Holographic and Wilsonian Renormalization Groups},
author = {Djordje Radicevic},
journal= {arXiv preprint arXiv:1105.5825},
year = {2012}
}
Comments
11 pages, 1 figure; metadata modified in v2; added references and minor changes in v3; v4 as published in JHEP