We study gluon scattering amplitudes in = 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 520 × 520 lattice points.
- AdS-CFT correspondence
- Extended supersymmetry
- Gauge-gravity correspondence
ASJC Scopus subject areas
- Nuclear and High Energy Physics