Special problems in the theory of elementary particle interactions

The objectives of the thesis paper are: a) construction of multiparticle invariant amplitudes for arbitrary angular momenta. Consequently, the Poincare invariant quantities can be used, instead of the covariant ones without losing information: a total system of kinematic restraints for the holomorphic invariant amplitudes and for the invariant amplitudes with temperate distribution is described. b) development of spinorial amplitudes within unsaturated analiticity ranges by holomorphic invariant amplitudes and without restraints. c) finding a well-defined mathematical baring for the helicity amplitudes as distributions within the physical range. d) kinematic regulation of multiparticle helicity amplitudes and calculation of a full set of kinematic restraints for the regulated helicity amplitudes. (author)