On correlators of Reggeon fields and operators of Wilson lines in high energy QCD

TL;DR

This paper derives Dyson-Schwinger equations for Reggeon field correlators in high energy QCD, providing explicit perturbative expressions and connecting reggeized gluon correlators with Wilson line operators, bridging different theoretical frameworks.

Contribution

It introduces a hierarchy of equations for Reggeon correlators within Lipatov's formalism and establishes a link with Wilson line operators, enhancing understanding of high energy QCD dynamics.

Findings

Explicit perturbative expressions for correlators up to four Reggeon fields.

Perturbative schemes for the two-field correlator solutions.

Established correspondence between Reggeon correlators and Wilson line operators.

Abstract

In this note we derive Dyson-Schwinger hierarchy of the equations for the correlators of reggeized gluon fields in the framework of Lipatov's high energy QCD effective action formalism, \cite{LipatovEff,Our1,Our2,Our3,Our4}. The explicit perturbative expressions for the correlators till correlator of four Reggeon fields inclusively are obtained and different perturbative schemes for the solutions of the equation for the two-field correlator are discussed. A correspondence between the correlators of reggeized gluon fields and Wilson line operators of longitudinal gluon field is established with the help of \cite{Our4} paper results. The connection between the JIMWLK-Balitsky formalism and Lipatov's effective action approach and applications of the obtained results are also discussed.