Gluon production on two centers and the effective action approach
M.A. Braun (1), L.N. Lipatov (1, 2), M.Yu. Salykin (1), M.I., Vyazovsky (1) ((1) Saint-Petersburg State University, Russia, (2), Saint-Petersburg Nuclear Physics Institute, Russia)
TL;DR
This paper uses the effective action formalism to analyze gluon production on two centers, identifying key vertices and singular contributions, and deriving practical expressions for inclusive gluon production.
Contribution
It introduces a novel application of the effective action approach to gluon production involving reggeon splitting and establishes rules for longitudinal integrations.
Findings
Gluon production is described by Reggeon-to-two-Reggeons-plus-Particle vertex.
Singular contributions from double gluon exchange are identified.
Derived expressions facilitate calculations of inclusive gluon production.
Abstract
Application of the effective action formalism is studied for processes in which the reggeons may split. It is shown that the gluon production on two centers is described by the contribution of the Reggeon-to-two-Reggeons-plus-Particle vertex supplemented by certain singular contributions from the double gluon exchange. The rules for longitudinal integrations are established from the comparison to perturbative QCD amplitude. Convenient expressions for application to the inclusive gluon production are derived.
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