Unifying approaches: derivation of Balitsky hierarchy from the Lipatov effective action

EUROPEAN PHYSICAL JOURNAL C(2021)

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Abstract
We consider a derivation of the hierarchy of correlators of ordered exponentials directly from the Lipatov's effective action~\cite{LipatovEff} formulated in terms of interacting ordered exponentials~\cite{OurZub}. The derivation of the Balitsky equation~\cite{Bal} from the hierarchy is discussed as well as the way the sub-leading eikonal corrections to the Balitsky equation arise from the transverse field contribution and sub-leading eikonal corrections to the quark propagator. We outline other possible applications of the proposed calculation scheme.
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Key words
balitsky hierarchy,lipatov,effective action
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