Exact kinematics in gluon cascade on the light-front

In this talk we discuss the problem of kinematic effects in the development of the gluon cascade at high energies. The modification to the original dipole kernel for the dipole evolution at small x is proposed which accommodates important kinematical corrections. The techniques presented in this talk utilize the perturbation theory on the light-front. Using these techniques we construct recurrence relations for the wave-functions of gluons with arbitrary number of gluon components and with exact kinematics. In some special cases the recurrence relations can be solved exactly. By combining similar techniques for the fragmentation amplitudes one can derive the Parke - Taylor scattering amplitudes.