The quantization of N=1 supergravity without the auxiliary fields is discussed from the stochastic point of view. Using tue BRST transformation properties of the theory, we derive a sufficient condition for the equivalence between the stochastic and the Faddeev-Popov quantization. This method is also applied to the Yang-Mills theories, and a very compact proof of the above equivalence is found for the general gauge fixing term -1/2F_αγ^<αβ>F_β, where γ^<αβ> is field dependent (the Nielsen-Kallosh type).
This work is a continuation of the study of the interaction of fermions with magnetic monopoles (dyons). We determine the charge distribution and the fermionic structure of a stable SU(2) dyon interacting with one isodoublet fermion, in the limit when the dyon mass tends to infinity; a problem which was posed but left unsolved in a previous thesis by C.Besson. The implications of our results for monopole physics in general are briefly discussed.