  We perform lattice Monte-Carlo simulations of pure SU(2) QCD using the
multi-level method. We find Abelian dominance in local unitary gauges such as
those diagonalizing a plaquette. A static potential described by Abelian link
fields alone gives us the same string tension as that of a non-Abelian
potential. Abelian dominance of the string tension and Abelian flux tube
profiles are observed also without gauge-fixing, i.e., without any Abelian
projection. On the basis of these results, we propose a simple
gauge-independent Abelian confinement scenario without any Abelian projection.
All color components of the non-Abelian field strength become Abelian dominant
in the infrared region. The Abelian dual Meissner effect works in any color
direction. Abelian neutral states in any color directions which are just
non-Abelian color-singlet can exist as a physical state. In this way, the
non-Abelian color confinement could be understood in the framework of the
Abelian dual Meissner effect.
