Planar scattering amplitudes from Wilson loops

John McGreevy*, Amit Sever

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


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 = 4 SYM at finite coupling.

Original languageEnglish
Article number078
JournalJournal of High Energy Physics
Issue number8
StatePublished - 1 Aug 2008
Externally publishedYes


  • 1/N expansion
  • AdS-CFT correspondence
  • QCD


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