  The gauge fixing procedure for N=1 supersymmetric Yang-Mills theory (SYM) is
proposed in the context of the stochastic quantization method (SQM). The
stochastic gauge fixing, which was formulated by Zwanziger for Yang-Mills
theory, is extended to SYM_4 in the superfield formalism by introducing a
chiral and an anti-chiral superfield as the gauge fixing functions. It is shown
that SQM with the stochastic gauge fixing reproduces the probability
distribution of SYM_4, defined by the Faddeev-Popov prescription, in the
equilibrium limit with an appropriate choice of the stochastic gauge fixing
functions. We also show that the BRST symmetry of the corresponding stochastic
action and the power counting argument in the superfield formalism ensure the
renormalizability of SYM_4 in this context.
