S-matrix and productions amplitudes in high energy QCD

TL;DR

This paper extends Lipatov's effective action to describe gluon and quark production amplitudes in high energy QCD within quasi-multi-Regge kinematics, defining S-matrix elements and exploring applications.

Contribution

It generalizes Lipatov's effective action approach for high energy QCD processes involving gluon and quark production in quasi-multi-Regge kinematics.

Findings

Defined S-matrix elements in high energy QCD processes.

Extended effective action approach to include quark production.

Discussed potential applications of the generalized framework.

Abstract

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.