Faddeev equations in the functional quantum theory of the non-linear spinorfield

Starting with a linear partial differential operator for a certain system of transition amplitudes associated to a state vertical stroke a> with baryon number rho(a) we derive an equation in the rho(a)-sector of the functional space which provides the state vertical stroke a> with an effective potential caused by the polarization cloud. With regard to the needs of n-body scattering we then undertake a cluster decomposition of the effective potential. In particular, we derive the relativistic analoga of Lippmann-Schwinger- and Faddeev equations. (orig.)