On the inclusive gluon production in the Lipatov effective action formalism

TL;DR

This paper investigates gluon production in quark-nucleus collisions using Lipatov's effective action formalism, clarifying the rules for longitudinal integrations and connecting to a transversal formalism with effective vertices.

Contribution

It introduces detailed rules for longitudinal integrations within Lipatov's formalism and links them to a transversal space approach for gluon production analysis.

Findings

Rules for longitudinal integrations are explicitly formulated.

Results align with a transversal formalism based on effective vertices.

Provides a detailed methodological framework for gluon production studies.

Abstract

The process of gluon production in quark-nucleus collisions is studied in the framework of Lipatov's effective action formalism. The relevant simplifications and rules for longitudinal integrations are discussed in detail. The results obtained with the help of these rules correspond to the purely transversal formalism based on effective vertices in the transversal space.