Strong bootstrap conditions

We reformulate the so-called "strong bootstrap" conditions for the gluon Re ggeization in the next-to-leading approximation (NLA), firstly suggested by Braun and Vacca, using a different approach, which is not based on propert ies of the eigenstates of the NLA octet BFKL kernel. We write the second st rong bootstrap condition for the NLA octet impact factors in a form which m akes clear their dependence on the process, According to this condition, th e NLA octet impact factors must be given by the product of the correspondin g Reggeon interaction vertices with a universal coefficient function. This function can be used also in the formulation of the first strong bootstrap condition for the NLA BFKL kernel in the octet state. (C) 2000 Elsevier Sci ence B.V. All rights reserved.