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

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.

24 pages

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Cited by in corpus (3)

• Quark Sivers Function at Small $x$: Spin-Dependent Odderon and the Sub-Eikonal Evolution
• T-odd Leading-Twist Quark TMDs at Small $x$
• Dijet impact factor in DIS at next-to-leading order in the Color Glass Condensate