Dual formulation of non-Abelian gauge theories

Motivated by an analogy with Abelian theories, we construct a new duality transformation for non-Abelian gauge theories. For large coupling the gauge-theory vacuum should have its most important contributions from configurations of the dual fields without large fluctuations. The generating functional when expressed in terms of the dual variables has a rather simple and suggestive structure which manifests some features of a gauge theory, but now a gauge theory of the dual variables with the coupling constant inverted. We discuss several aspects of this representation including the possibility of using it as the basis for a strong-coupling expansion for the field theory. We also investigate a systematic, formal (perturbative) solution to a constraint condition among our dual variables which has the form of a Bianchi identity.