  A new framework that fulfills the dual superconductor picture is proposed for
the strongly-coupled Yang-Mills theory. This framework is based on the idea
that at the classic level the strong-coupling limit of the theory vacuum
behaves as a back hole with regard to colors in the sense of the effective
field theory, and the theory variables undergo an ultraviolet/infrared scale
separation. We show that at the quantum level the strong-coupled theory vacuum
is made up of a Bose-condensed many-body system of magnetic charges. We further
check this framework by reproducing the dual Abelian-Higgs model from the
Yang-Mills theory and the predicting the vacuum type of the theory which is
very near to the border between type-I and type-II superconductors and
remarkably consistent with the recent simulations.
