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

All || By Area || By Year

Title	Four-Loop Collinear Anomalous Dimension in N = 4 Yang-Mills Theory
Authors/Editors*	Freddy Cachazo, Marcus Spradlin, Anastasia Volovich
Where published*	Phys.Rev. D
How published*	Journal
Year*	2007
Volume	76
Number
Pages	106004
Publisher
Keywords
Link
Abstract	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 = -1243 with an estimated numerical uncertainty of 0.1%. 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.