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

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.

20 pages, 10 figures

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• High energy scattering in Einstein-Cartan gravity
• On QCD RFT corrections to the propagator of reggeized gluons
• High energy QCD Lipatov's effective action in Euclidean space
• NNLO classical solution for Lipatov's effective action for reggeized gluons