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Title: Emerging holography

Abstract

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 Pade approximation of the two-point function. We show that the Pade 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 Pade 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.

Authors:
 [1];  [2];  [3]
  1. Department of Physics, College of William and Mary, Williamsburg, Virginia 23187 (United States)
  2. Department of Physics and Institute of Theoretical Science, University of Oregon, Eugene, Oregon 97403 (United States)
  3. School of Natural Sciences, Institute for Advanced Study, Princeton, New Jersey 08540 (United States)
Publication Date:
OSTI Identifier:
20783022
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. D, Particles Fields; Journal Volume: 73; Journal Issue: 9; Other Information: DOI: 10.1103/PhysRevD.73.096001; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; CORRECTIONS; DE SITTER GROUP; EXTRAPOLATION; GAUGE INVARIANCE; GLUONS; HOLOGRAPHY; PADE APPROXIMATION; QUANTUM CHROMODYNAMICS; QUARKS

Citation Formats

Erlich, Joshua, Kribs, Graham D., and Low, Ian. Emerging holography. United States: N. p., 2006. Web. doi:10.1103/PHYSREVD.73.096001.
Erlich, Joshua, Kribs, Graham D., & Low, Ian. Emerging holography. United States. doi:10.1103/PHYSREVD.73.096001.
Erlich, Joshua, Kribs, Graham D., and Low, Ian. Mon . "Emerging holography". United States. doi:10.1103/PHYSREVD.73.096001.
@article{osti_20783022,
title = {Emerging holography},
author = {Erlich, Joshua and Kribs, Graham D. and Low, Ian},
abstractNote = {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 Pade approximation of the two-point function. We show that the Pade 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 Pade 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.},
doi = {10.1103/PHYSREVD.73.096001},
journal = {Physical Review. D, Particles Fields},
number = 9,
volume = 73,
place = {United States},
year = {Mon May 01 00:00:00 EDT 2006},
month = {Mon May 01 00:00:00 EDT 2006}
}