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L.N.Lipatov (PNPI)
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Non-perturbative effects for the BFKL equation in QCD and in N=4 SUSY
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The gluon reggeization and BFKL equation in the Higgs model and QCD are reviewed. The BFKL is non-Fredholm one, which allows to predict its eigenvalue for all coupling constants at N=4 SUSY in the limit of large anomalous dimensions. The Green function in QCD in the next-to-leading approximation depends on a phase parameter related with the physics in the confinement region. We consider two different models for this dynamics and find the Pomeron spectrum.