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Title: 5-D Choptuik critical exponent and holography

Abstract

Recently, a holographic argument was used to relate the saturation exponent, {gamma}{sub BFKL}, of 4-dimensional Yang-Mills theory in the Regge limit to the Choptuik critical scaling exponent, {gamma}{sub 5d}, in 5-dimensional black hole formation via scalar field collapse [L. Alvarez-Gaume, C. Gomez, and M. A. Vazquez-Mozo, arXiv:hep-th/0611312.]. Remarkably, the numerical value of the former agreed quite well with previous calculations of the latter. We present new results of an improved calculation of {gamma}{sub 5d} with substantially decreased numerical error. Our current result is {gamma}{sub 5d}=0.4131{+-}0.0001, which is close to, but not in strict agreement with, the value of {gamma}{sub BFKL}=0.409 552 quoted in [L. Alvarez-Gaume, C. Gomez, and M. A. Vazquez-Mozo, arXiv:hep-th/0611312.].

Authors:
 [1];  [2]
  1. Department of Physics and Astronomy and Winnipeg Institute of Theoretical Physics, University of Manitoba, Winnipeg, Manitoba, R3T 2N2 (Canada)
  2. Department of Physics and Winnipeg Institute of Theoretical Physics, University of Winnipeg, Winnipeg, Manitoba, R3B 2E9 (Canada)
Publication Date:
OSTI Identifier:
20935241
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. D, Particles Fields; Journal Volume: 75; Journal Issue: 10; Other Information: DOI: 10.1103/PhysRevD.75.101501; (c) 2007 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; BLACK HOLES; COSMOLOGICAL MODELS; ERRORS; HOLOGRAPHY; MANY-DIMENSIONAL CALCULATIONS; SCALAR FIELDS; YANG-MILLS THEORY

Citation Formats

Bland, J., and Kunstatter, G. 5-D Choptuik critical exponent and holography. United States: N. p., 2007. Web. doi:10.1103/PHYSREVD.75.101501.
Bland, J., & Kunstatter, G. 5-D Choptuik critical exponent and holography. United States. doi:10.1103/PHYSREVD.75.101501.
Bland, J., and Kunstatter, G. Tue . "5-D Choptuik critical exponent and holography". United States. doi:10.1103/PHYSREVD.75.101501.
@article{osti_20935241,
title = {5-D Choptuik critical exponent and holography},
author = {Bland, J. and Kunstatter, G.},
abstractNote = {Recently, a holographic argument was used to relate the saturation exponent, {gamma}{sub BFKL}, of 4-dimensional Yang-Mills theory in the Regge limit to the Choptuik critical scaling exponent, {gamma}{sub 5d}, in 5-dimensional black hole formation via scalar field collapse [L. Alvarez-Gaume, C. Gomez, and M. A. Vazquez-Mozo, arXiv:hep-th/0611312.]. Remarkably, the numerical value of the former agreed quite well with previous calculations of the latter. We present new results of an improved calculation of {gamma}{sub 5d} with substantially decreased numerical error. Our current result is {gamma}{sub 5d}=0.4131{+-}0.0001, which is close to, but not in strict agreement with, the value of {gamma}{sub BFKL}=0.409 552 quoted in [L. Alvarez-Gaume, C. Gomez, and M. A. Vazquez-Mozo, arXiv:hep-th/0611312.].},
doi = {10.1103/PHYSREVD.75.101501},
journal = {Physical Review. D, Particles Fields},
number = 10,
volume = 75,
place = {United States},
year = {Tue May 15 00:00:00 EDT 2007},
month = {Tue May 15 00:00:00 EDT 2007}
}