On collinear factorization of Wilson loops and MHV amplitudes in N=4 SYM

Abstract

We consider the (multi) Splitting function of Wilson loops and MHV gluon scattering S matrix elements in N=4 SYM. At strong coupling, one can utilize the methods of Alday and Maldacena and at weak coupling (one loop) the correspondence to light like Wilson loops is used. In both cases, the (multi) Splitting function corresponds to flattened cusps in the light like polygon, allowing for a clean disentanglement from the other gluons. We compute it in some cases and estimate some terms in other cases. We also prove the anomalous Ward identity of Drummond et al. in the strong coupling regime. Lastly, we briefly comment on a possible strategy for a proof of collinear factorization of Wilson loops at higher orders of perturbation theory.

26 pages, 7 figures, JHEP format. v2: minor corrections. v3: minor improvements

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Cited by in corpus (24)

• Dual superconformal symmetry of scattering amplitudes in N=4 super-Yang-Mills theory
• Hexagon Wilson loop = six-gluon MHV amplitude
• The Two-Loop Six-Gluon MHV Amplitude in Maximally Supersymmetric Yang-Mills Theory
• Dual Superconformal Symmetry from AdS5 x S5 Superstring Integrability
• Null polygonal Wilson loops and minimal surfaces in Anti-de-Sitter space
• Scattering into the fifth dimension of N=4 super Yang-Mills
• Scattering Amplitudes, Wilson Loops and the String/Gauge Theory Correspondence
• Exacting N=4 Superconformal Symmetry
• Implications of multi-Regge limits for the Bern-Dixon-Smirnov conjecture
• Thermodynamic Bethe Ansatz Equations for Minimal Surfaces in AdS_3
• Duality between Wilson loops and gluon amplitudes
• Analyticity for Multi-Regge Limits of the Bern-Dixon-Smirnov Amplitudes
• A Numerical Study of Gluon Scattering Amplitudes in N=4 Super Yang-Mills Theory at Strong Coupling
• Comment on the Alday-Maldacena solution in calculating scattering amplitude via AdS/CFT
• Wilson loop remainder function for null polygons in the limit of self-crossing
• Peculiarities of String Theory on AdS(4) x CP(3)
• Review of AdS/CFT Integrability, Chapter V.3: Scattering Amplitudes at Strong Coupling
• Discretized Minimal Surface and the BDS Conjecture in N=4 Super Yang-Mills Theory at Strong Coupling
• Amplitudes in the N=4 SYM from Quantum Geometry of the Momentum Space
• "Anomaly" in n=infinity Alday-Maldacena Duality for Wavy Circle
• One-loop derivation of the Wilson polygon - MHV amplitude duality
• Deviation from Alday-Maldacena Duality For Wavy Circle
• Supersymmetric Yang-Mills and Supergravity Amplitudes at One Loop
• Twistors, strings and supersymmetric gauge theories