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.
Cite
@article{arxiv.1211.6549,
title = {Gluon scattering amplitudes from gauge/string duality and integrability},
author = {Yuji Satoh},
journal= {arXiv preprint arXiv:1211.6549},
year = {2015}
}
Comments
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