A Numerical Study of Gluon Scattering Amplitudes in N=4 Super Yang-Mills Theory at Strong Coupling

Abstract

We study gluon scattering amplitudes in N=4 super Yang-Mills theory at strong coupling via the AdS/CFT correspondence. We solve numerically the discretized Euler-Lagrange equations on the square worldsheet for the minimal surface with light-like boundaries in AdS spacetime. We evaluate the area of the surface for the 4, 6 and 8-point amplitudes using worldsheet and radial cut-off regularizations. Their infrared singularities in the cut-off regularization are found to agree with the analytical results near the cusp less than 5% at 520x520 lattice points.

Latex, 23 pages, 19 figures

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Cited by in corpus (10)

• Scattering Amplitudes, Wilson Loops and the String/Gauge Theory Correspondence
• Moduli Dynamics of AdS_3 Strings
• Thermodynamic Bethe Ansatz Equations for Minimal Surfaces in AdS_3
• On spacelike and timelike minimal surfaces in $Ad{S}_n$
• A note on string solutions in AdS_3
• Constant mean curvature surfaces in AdS_3
• Some comments on spacelike minimal surfaces with null polygonal boundaries in $Ad{S}_m$
• Series Solution and Minimal Surfaces in AdS
• Discretized Minimal Surface and the BDS Conjecture in N=4 Super Yang-Mills Theory at Strong Coupling
• Deviation from Alday-Maldacena Duality For Wavy Circle