Next-to-leading corrections to the BFKL equation and the effective action for high energy processes in QCD

The next-to-leading corrections to the BFKL equations in QCD and in supersymmetric gauge theories are discussed. In the extended N=4 SUSY they are significantly simplfied, which gives a possibility to relate the BFKL and DGLAP equations in this theory. The gauge-invariant action for the interaction of the reggeized quarks and gluons with the usual partons is constructed and its application to the calculation of the quark Regge trajectory is discussed.