LeRoy Apker Award Lecture: Connecting the Holographic and Wilsonian Renormalization Groups

Details LeRoy Apker Award Lecture: Connecting the Holographic and Wilsonian Renormalization Groups LeRoy Apker Award Lecture: Connecting the Holographic and Wilsonian Renormalization Groups

Mar 2012

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2012aps..apr.w2003r&link_type=abstract

American Physical Society, APS April Meeting 2012, March 31-Apr 3, 2012, abstract #W2.003

Physics

Scientific paper

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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