Four-Loop Collinear Anomalous Dimension in N = 4 Yang-Mills Theory

Details Four-Loop Collinear Anomalous Dimension in N = 4 Yang-Mills Theory Four-Loop Collinear Anomalous Dimension in N = 4 Yang-Mills Theory

2007-07-12

arxiv.org/abs/0707.1903v2

Phys.Rev.D76:106004,2007

Physics

High Energy Physics

High Energy Physics - Theory

5 pages, 2 figures

Scientific paper

10.1103/PhysRevD.76.106004

We report a calculation in N = 4 Yang-Mills of the four-loop term g^4 in the collinear anomalous dimension g(lambda) which governs the universal subleading infrared structure of gluon scattering amplitudes. Using the method of obstructions to extract this quantity from the 1/epsilon singularity in the four-gluon iterative relation at four loops, we find g^4 = -1240.9 with an estimated numerical uncertainty of 0.02%. We also analyze the implication of our result for the strong coupling behavior of g(lambda), finding support for the string theory prediction computed recently by Alday and Maldacena using AdS/CFT.

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