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

dc.creatorCachazo, Freddy
dc.creatorSpradlin, Marcus
dc.creatorVolovich, Anastasia
dc.date2007-07-12
dc.date2007-11-01
dc.date.accessioned2026-07-07T11:17:46Z
dc.date.available2026-07-07T11:17:46Z
dc.descriptionWe 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.
dc.description5 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/0707.1903
dc.identifierhttp://arxiv.org/abs/0707.1903
dc.identifierPhys.Rev.D76:106004,2007
dc.identifierdoi:10.1103/PhysRevD.76.106004
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/193116
dc.subjectHigh Energy Physics - Theory
dc.titleFour-Loop Collinear Anomalous Dimension in N = 4 Yang-Mills Theory
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