QCD saturation in the dipole sector with correlations

Abstract

In this paper we study the description of saturation in Balitsky, Jalilian-Marian, Iancu, McLerran, Weigert, Leonidov and Kovner (B-JIMWLK) picture when restricted to observables made up only from dipole operators. We derive a functional form of the evolution equation for the dipole probability distribution and find a one-parameter family of exact solutions to the dipole evolution equations.

Comments: 9 pages, v2: references and comments added, v3: version to appear in Phys. Lett. B (title changed in journal)