Classical Polylogarithms for Amplitudes and Wilson Loops
High Energy Physics - Theory
2011-01-17 v2 Algebraic Geometry
Abstract
We present a compact analytic formula for the two-loop six-particle MHV remainder function (equivalently, the two-loop light-like hexagon Wilson loop) in N = 4 supersymmetric Yang-Mills theory in terms of the classical polylogarithm functions Li_k with cross-ratios of momentum twistor invariants as their arguments. In deriving our result we rely on results from the theory of motives.
Cite
@article{arxiv.1006.5703,
title = {Classical Polylogarithms for Amplitudes and Wilson Loops},
author = {Alexander B. Goncharov and Marcus Spradlin and C. Vergu and Anastasia Volovich},
journal= {arXiv preprint arXiv:1006.5703},
year = {2011}
}
Comments
11 pages, v2: journal version, minor corrections and simplifications, additional details available at http://goo.gl/Cl0y