Dual Superconductivity from Yang-Mills Theory via Connection Decomposition

We derive an Abelian-Higgs-like action from SU(2) Yang-Mills theory via monopole-condensation assumption. Abelian projection as well as chromo-‘electric-magnetic’ duality are naturally realized by separating the small off-diagonal gluon part from diagonal gluon field according to the order of inverse coupling constant($1\mathrm{/}g$). It is shown that Abelian dominance can follow from infrared behavior of ranning coupling constant and the mass generation of chromo-electric field as well as off-diagonal gluon is due to the quantum fluctuation of orientation of Abelian direction. Dual superconductivity of theory vacuum is confirmed by deriving dual London equation for chromo-electronic field.