  We reformulate the dual gauge model of the long-distance Yang-Mills theory in
terms of the two-point Wightman functions formalism. In the flux-tube scheme of
Abelian dominance and monopole condensation, the analytic expressions of both
monopole- and dual gauge boson-fields propagators are obtained. Formally, new
features of higher order quadratic equations for a monopole field are given.
Finally, we show how the rising-type potentials in the static system of color
charges are naturally derived.
