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

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

2004-11-08

arxiv.org/abs/hep-ph/0411121v2

Phys.Lett. B607 (2005) 131-138

Physics

High Energy Physics

High Energy Physics - Phenomenology

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

Scientific paper

10.1016/j.physletb.2004.12.052

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.

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