  We consider the general framework of perturbative quantum field theory for
the pure Yang-Mills model developped in [10] and consider the coupling with
spin 3/2 particles. We will derive the most general form of the interaction
with pure Yang-Mills particles and with the spin $2$ field. The expressions for
the interactions are obtained, as in the pure Yang-Mills case, using gauge
invariance in the first order of the perturbation theory. Further constrains
are obtained using gauge invariance in the second order of the perturbation
theory. For the coupling of spin $3/2$ with spin $1$ particles, we obtain some
natural restrictions on the coupling. For coupling of spin $3/2$ with spin $2$
particles, we get a negative result: such a coupling is not possible in the
causal approach.
