Dual Superconductor Picture for Strongly-coupled SU(2) Yang-Mills Theory

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.