Four-loop collinear anomalous dimension in N=4 Yang-Mills theory

Journal Article · Wed Nov 14 23:00:00 EST 2007 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.76.106004· OSTI ID:21027914

Cachazo, Freddy ^[1]; Spradlin, Marcus; Volovich, Anastasia ^[2]

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1. Perimeter Institute for Theoretical Physics, Waterloo, Ontario N2J 2W9 (Canada)
2. Brown University, Providence, Rhode Island 02912 (United States)

We report a calculation in N=4 Yang-Mills of the four-loop term g{sup (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{sup (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.

• OSTI ID: 21027914
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 10 Vol. 76; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANOMALOUS DIMENSION
CONFORMAL INVARIANCE
GLUONS
ITERATIVE METHODS
QUANTUM FIELD THEORY
SCATTERING AMPLITUDES
SINGULARITY
STRING MODELS
STRONG-COUPLING MODEL
YANG-MILLS THEORY