Unifying approaches: derivation of Balitsky hierarchy from the Lipatov effective action
High Energy Physics - Theory
2022-11-23 v3
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.
Keywords
Cite
@article{arxiv.2106.01677,
title = {Unifying approaches: derivation of Balitsky hierarchy from the Lipatov effective action},
author = {S. Bondarenko and S. Pozdnyakov and A. Prygarin},
journal= {arXiv preprint arXiv:2106.01677},
year = {2022}
}
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24 pages