Effective action for Regge processes in QCD and in gravity

We consider the Gribov approach to hadron–hadron high-energy scattering, which is based on an effective field theory for the Pomeron interactions. Because the gluons and gravitons in QCD and in gravity are Reggeized, it seems natural to reformulate these theories at high energies in terms of Reggeons. We review the basic ideas of the BFKL approach in QCD and in supersymmetric models and present it in the form of a gauge-invariant effective theory for the Reggeized gluon interactions. We formulate the analogous generally covariant action for the Reggeized gravitons in terms of effective currents satisfying the Hamilton–Jacobi equation.