Magnen , Rivasseau , S'en'eor Rigorous results on the ultraviolet limit of non-Abelian gauge theories (29K, TeX) ABSTRACT. We report on a rigorous construction of the Schwinger functions of the pure SU(2) Yang-Mills field theory in four dimensions (in the trivial topological sector) with a fixed infrared cutoff but no ultraviolet cutoff, in a regularized axial gauge. We review briefly the difficulties related to Gribov ambiguities, then we give an outline of our construction.