2011/05/31 by Djordje Radicevic, Đorđe Radičević · 1 citation
Mathematics · Physics and Astronomy · #Anti-de Sitter space #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #De Sitter space #De Sitter universe #Flow (mathematics) #Gauge theory #Geometry #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Quantum mechanics #Renormalization #Scalar (mathematics) #String theory #Theoretical physics #hep-th
paper · pdf · doi:10.1007/jhep12(2011)023
published as JHEP 1112:023, 2011 · 11 pages, 1 figure; metadata modified in v2; added references and minor changes in v3; v4 as published in JHEP
openalex publication_date 2011/12/01 · arxiv created 2012/02/21 · arxiv updated 2012/02/22 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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.