Balitsky's hierarchy from Mueller's dipole model and more about target correlations

Abstract

High energy scattering is considered within the framework of the QCD dipole model formulated as a classical branching process. Starting from Mueller's generating functional we derive the high energy evolution law for the scattering amplitude. The amplitude's evolution is given by an infinite hierarchy of linear equations equivalent to Balitsky's chain reduced to dipole operators. This new derivation of the hierarchy is the central result of the paper. We comment about target correlations which prevent the hierarchy from being expressed as a closed form Balitsky-Kovchegov equation.

Comments: 9 pages, Few comments added; To be published in PLB