The 5-D Choptuik critical exponent and holography

Details The 5-D Choptuik critical exponent and holography The 5-D Choptuik critical exponent and holography

2007-02-28

arxiv.org/abs/hep-th/0702226v1

Phys.Rev.D75:101501,2007

Physics

High Energy Physics

High Energy Physics - Theory

11 pagers, 2 figures

Scientific paper

10.1103/PhysRevD.75.101501

Recently, a holographic argument was used to relate the saturation exponent, $\gamma_{BFKL}$, of four-dimensional Yang-Mills theory in the Regge limit to the Choptuik critical scaling exponent, $\gamma_{5d}$, 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 $\gamma_{5d}$ with substantially decreased numerical error. Our current result is $\gamma_{5d} = 0.4131 \pm 0.0001$, which is close to, but not in strict agreement with, the value of $\gamma_{BFKL}=0.409552$ quoted in \cite{alvarez-gaume}.

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