Gluon Reggeization in QCD

The Reggeization hypothesis can be proved using the “bootstrap” relations, required by the compatibility of the gluon Reggeization with the s-channel unitarity. It is extremely nontrivial, that an infinite number of the bootstrap relations for the multi-particle production amplitudes can be fulfilled if the Reggeon vertices and trajectory satisfy several bootstrap conditions. All these conditions are derived and all but one are proved to be satisfied.