NLO Evolution of Color Dipoles in N = 4 SYM

Abstract

The small-$x_B$ deep inelastic scattering in the saturation region is governed by the non-linear evolution of Wilson-line operators. In the leading logarithmic approximation it is given by the BK equation for the evolution of color dipoles. I discuss recent calculation of the next-to-leading order evolution of color dipoles in QCD and $\mathcal{N}=4$ SYM.

Comments: 4 pages, Prepared for the International Workshop on Diffraction in High-Energy Physics in La Londe-les-Maures, France, 9-14 September 2008