The 5-D Choptuik critical exponent and holography

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dc.creatorBland, Jason
dc.creatorKunstatter, Gabor
dc.date2007-02-28
dc.date.accessioned2026-07-07T10:22:28Z
dc.date.available2026-07-07T10:22:28Z
dc.descriptionRecently, a holographic argument was used to relate the saturation exponent, $γ_{BFKL}$, of four-dimensional Yang-Mills theory in the Regge limit to the Choptuik critical scaling exponent, $γ_{5d}$, in 5-dimensional black hole formation via scalar field collapse \cite{alvarez-gaume}. 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 $γ_{5d}$ with substantially decreased numerical error. Our current result is $γ_{5d} = 0.4131 \pm 0.0001$, which is close to, but not in strict agreement with, the value of $γ_{BFKL}=0.409552$ quoted in \cite{alvarez-gaume}.
dc.description11 pagers, 2 figures
dc.identifierhttps://arxiv.org/abs/hep-th/0702226
dc.identifierhttp://arxiv.org/abs/hep-th/0702226
dc.identifierPhys.Rev.D75:101501,2007
dc.identifierdoi:10.1103/PhysRevD.75.101501
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/175523
dc.subjectHigh Energy Physics - Theory
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleThe 5-D Choptuik critical exponent and holography
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