Euler-Lagrange equations for the high energy effective actions in QCD and gravity

After a short historical introduction about remarkable properties of BFKL and BKP equations formulated in terms of
reggeized gluons we present the effective action for the high energy scattering in QCD. This action and the corresponding Euler-Lagrange equation contain the fields describing the reggeize gluons and allow to calculate various effective reggeon vertices. Due to AdS/CFT correspondence the BFKL Pomeron in N=4 SUSY is dual to the reggeized graviton.
Thus, the effective action and its Euler-Lagrange equation are presented also for gravity.We discuss their self-consistency
and apply for calculations of effective reggeon vertices and graviton Regge trajectory.