A proof of the reggeized form of amplitudes with quark exchanges

A complete proof of the quark reggeization hypothesis in the leading logarithmic approximation for any quark-gluon inelastic process in the multi-Regge kinematics in all orders of αs is given. First, we show that the multi-Regge form of QCD amplitudes is guarantied if a set of conditions on the reggeon vertices and the trajectories is fulfilled. Then, we examine these conditions and show that they are satisfied.