Planar scattering amplitudes from Wilson loops

Details Planar scattering amplitudes from Wilson loops Planar scattering amplitudes from Wilson loops

2008-06-04

arxiv.org/abs/0806.0668v2

JHEP 0808:078,2008

Physics

High Energy Physics

High Energy Physics - Theory

30 + 16 pages, 9 figures. v2: corrected section 2

Scientific paper

10.1088/1126-6708/2008/08/078

We derive an expression for parton scattering amplitudes of planar gauge theory in terms of sums of Wilson loops. We study in detail the example of Yang-Mills theory with an adjoint Higgs field. The expression exhibits the T-duality performed by Alday and Maldacena in the AdS dual as a Fourier transform in loop space. When combined with the AdS/CFT correspondence for Wilson loops and a strong coupling argument for the dominance of 1PI diagrams, this leads to a derivation of the Alday-Maldacena holographic prescription for scattering amplitudes in terms of momentum Wilson loops. The formula leads to a conjecture for a relationship between position-space and momentum-space Wilson loops in N=4 SYM at finite coupling.

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