Planar scattering amplitudes from Wilson loops

Abstract

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.

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

Cited by in corpus (23)

• A Duality For The S Matrix
• Dual Superconformal Symmetry from AdS5 x S5 Superstring Integrability
• Scattering into the fifth dimension of N=4 super Yang-Mills
• The S-Matrix in Twistor Space
• Exacting N=4 Superconformal Symmetry
• Higgs-regularized three-loop four-gluon amplitude in N=4 SYM: exponentiation and Regge limits
• Proof of the MHV vertex expansion for all tree amplitudes in N=4 SYM theory
• More loops and legs in Higgs-regulated N=4 SYM amplitudes
• Wilson Loop Renormalization Group Flows
• Simple loop integrals and amplitudes in N=4 SYM
• Form factors and scattering amplitudes in N=4 SYM in dimensional and massive regularizations
• Unraveling L_{n,k}: Grassmannian Kinematics
• Dual conformal symmetry at loop level; massive regularization
• Thermodynamic Bethe Ansatz Equations for Minimal Surfaces in AdS_3
• Amplitudes for massive vector and scalar bosons in spontaneously-broken gauge theory from the CHY representation
• A super MHV vertex expansion for N=4 SYM theory
• Lightlike contours with fermions
• On the Classification of Residues of the Grassmannian
• Review of AdS/CFT Integrability, Chapter V.3: Scattering Amplitudes at Strong Coupling
• One-loop derivation of the Wilson polygon - MHV amplitude duality
• Massive quark scattering at strong coupling from AdS/CFT
• Scattering amplitudes on the Coulomb branch of N=4 super Yang-Mills
• Non-commutative holography and scattering amplitudes in a large magnetic background