  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.
