Ladders for Wilson loops beyond leading order

We set up a general scheme to resum ladder diagrams for the quark-anti-quark potential in \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$ \mathcal{N} $\end{document} = 4 super-Yang-Mills theory, and do explicit calculations at the next-to-leading order. The results perfectly agree with string theory in AdS5  × S5 when continued to strong coupling, in spite of a potential order-of-limits problem.