Gluon scattering amplitudes from gauge/string duality and integrability

Abstract

We discuss gluon scattering amplitudes/null-polygonal Wilson loops of N = 4 super Yang-Mills theory at strong coupling based on the gauge/string duality and its underlying integrability. We focus on the amplitudes/Wilson loops corresponding to the minimal surfaces in AdS_3, which are described by the thermodynamic Bethe ansatz equations of the homogeneous sine-Gordon model. Using conformal perturbation theory and an interesting relation between the g-function (boundary entropy) and the T-function, we derive analytic expansions around the limit where the Wilson loops become regular-polygonal. We also compare our analytic results with those at two loops, to find that the rescaled remainder functions are close to each other for all multi-point amplitudes.

23 pages, 7 figures; contribution to the proceedings of "Progress in Quantum Field Theory and String Theory", April 3-7, 2012, Osaka City University, Osaka, Japan

References in corpus (10)

• Gluon scattering amplitudes at strong coupling
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• Hexagon Wilson loop = six-gluon MHV amplitude
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• The ODE/IM Correspondence
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• Five-loop Konishi in N=4 SYM
• Analytic Results for MHV Wilson Loops
• Reflection factors and exact g-functions for purely elastic scattering theories