In this note we discuss a generalization of the Lipatov's effective action approach, \cite{LipatovEff,LipatovEff1}, for the case of description of gluon and quark production amplitudes in the quasi-multi-Regge kinematics. Following to \cite{Faddeev}, we define the S-matrix elements of high energy QCD processes in this kinematics and discuss applications of the obtained results.
@article{arxiv.1803.04131,
title = {S-matrix and productions amplitudes in high energy QCD},
author = {S. Bondarenko and S. Pozdnyakov},
journal= {arXiv preprint arXiv:1803.04131},
year = {2018}
}