The 5-D Choptuik critical exponent and holography

Abstract

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}.

11 pagers, 2 figures

Cited by in corpus (1)

• Critical gravitational collapse: towards a holographic understanding of the Regge region