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Connecting the holographic and Wilsonian renormalization groups

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Abstract

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

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Authors and Affiliations

  1. Department of Physics, Princeton University, Princeton, NJ, 08544, U.S.A.

    Đorđe Radičević

  2. Department of Physics, Stanford University, Stanford, CA, 94305, U.S.A.

    Đorđe Radičević

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  1. Đorđe Radičević
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Correspondence to Đorđe Radičević.

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ArXiv ePrint: 1105.5825

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Radičević, Đ. Connecting the holographic and Wilsonian renormalization groups. J. High Energ. Phys. 2011, 23 (2011). https://doi.org/10.1007/JHEP12(2011)023

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  • DOI: https://doi.org/10.1007/JHEP12(2011)023

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