  Supersymmetric Yang-Mills theories can be characterized by a non-local and
non-linear transformation of the bosonic fields (Nicolai map) mapping the
interacting functional measure to that of a free theory, such that the Jacobi
determinant of the transformation equals the product of the fermionic
determinants obtained by integrating out the gauginos and ghosts at least on
the gauge hypersurface. While this transformation has been known so far only
for the Landau gauge and to third order in the Yang-Mills coupling, we here
extend the construction to arbitrary gauges, with explicit results to second
order in the axial gauge and to fourth order in the Landau gauge.
