2006/02/28 by Joshua Erlich, Graham D. Kribs, Ian Low · 56 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Computer science #Cosmology and Gravitation Theories #Extrapolation #Gauge theory #Gluon #Holography #Invariant (physics) #Mathematical analysis #Mathematical physics #Mathematics #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum chromodynamics #Quantum electrodynamics #Quantum mechanics #Quark–gluon plasma #Regularization (linguistics) #Theoretical physics #hep-ph #hep-th
paper · pdf · doi:10.1103/physrevd.73.096001
published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 73(9) (American Physical Society) · 19 pages, 1 figure; v2: references and minor corrections added. now 20 pages; v3: derivation of Jacobi polynomials clarified as well as simplified. version to appear on PRD
arxiv created 2006/04/29 · openalex publication_date 2006/05/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We rederive AdS/CFT predictions for infrared two-point functions by an entirely four-dimensional approach, without reference to holography. This approach, originally due to Migdal in the context of QCD, utilizes an extrapolation from the ultraviolet to the infrared using a Pad'e approximation of the two-point function. We show that the Pad'e approximation and AdS/CFT give the same leading order predictions, and we discuss including power corrections such as those due to condensates of gluons and quarks in QCD. At finite order the Pad'e approximation provides a gauge invariant regularization of a higher dimensional gauge theory in the spirit of deconstructed extra dimensions. The radial direction of anti-de Sitter space emerges naturally in this approach.