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

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 = -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.

5 pages, 2 figures

References in corpus (2)

• The Strong Coupling Limit of the Scaling Function from the Quantum String Bethe Ansatz
• The Four-Loop Dressing Phase of N=4 SYM

Cited by in corpus (11)

• The Two-Loop Six-Gluon MHV Amplitude in Maximally Supersymmetric Yang-Mills Theory
• Generating AdS String Solutions
• Three-Loop Leading Singularities and BDS Ansatz for Five Particles
• Regge behavior of gluon scattering amplitudes in N=4 SYM theory
• New Dual Conformally Invariant Off-Shell Integrals
• Some properties of the Alday-Maldacena minimum
• Conformal SO(2,4) Transformations of the One-Cusp Wilson Loop Surface
• Boundary Ring or a Way to Construct Approximate NG Solutions with Polygon Boundary Conditions. II. Polygons which admit an inscribed circle
• Comment on the Alday-Maldacena solution in calculating scattering amplitude via AdS/CFT
• Sum rules for higher twist sl(2)operators in N=4 SYM
• "Anomaly" in n=infinity Alday-Maldacena Duality for Wavy Circle