Ghost-free nonabelian gauge theory

The advantage of the special axial gauge nsup(μ)Asub(μ)sup(a)=0 for a nonabelian gauge field Asub(μ)sub(a) is that no Faddeev-Popov ghosts must be considered. This leads to important simplifications in certain field- theoretic applications, which are especially important, if such theories are used as (e.g. asymptotically free) models of the hadronic interactions, e.g. Wilson-expansions in terms of gauge invariant operators etc. It is shown that the field-theoretic machinery can be developed consistently in this gauge. Appropriate generalized Ward-identities can be derived and form the basis for a discussion of possible counter-terms in the Lagrangian. Although, at first, this seems to be an example of a (presumably) renormalizable field-theory with not multiplicativly renormalizable self-energ, in the end its properties turn out to be extremely simple. One obtains e.g. the naive Ward identity Zsub(A)=Zsup(3)= Zsup((4)) between the divergent parts of the wave-function renormalization and the normalizations of the three-vertex and of the four-vertex. (Auth.)