Matching gluon scattering amplitudes and Wilson loops in off-shell regularization

Abstract

We construct a regularization for light-like polygonal Wilson loops in $\mathcal{N}=4$ SYM, which matches them to the off-shell MHV gluon scattering amplitudes. Explicit calculations are performed for the 1-loop four gluon case. The off light cone extrapolation has to be based on the local supersymmetric Wilson loop. The observed matching concerns Feynman gauge. Furthermore, the leading infrared divergent term is shown to be gauge parameter independent on 1-loop level.

7 pages, 2 figures, typo corrected

References in corpus (9)

• Wilson loops in large N field theories
• Gluon scattering amplitudes at strong coupling
• Dual superconformal symmetry of scattering amplitudes in N=4 super-Yang-Mills theory
• Conformal properties of four-gluon planar amplitudes and Wilson loops
• Wilson Loops and Minimal Surfaces
• MHV Amplitudes in N=4 Super Yang-Mills and Wilson Loops
• Conformal Ward identities for Wilson loops and a test of the duality with gluon amplitudes
• On planar gluon amplitudes/Wilson loops duality
• Comments on gluon scattering amplitudes via AdS/CFT

Cited by in corpus (3)

• Scattering amplitudes at strong coupling for 4K gluons
• Aspects of the N=4 SYM amplitude -- Wilson polygon duality
• An off-shell I.R. regularization strategy in the analysis of collinear divergences