We study abelian dominance and monopole condensation for the quark
confinement physics using the lattice QCD simulations in the MA gauge. These
phenomena are closely related to the dual superconductor picture of the QCD
vacuum, and enable us to construct the dual Ginzburg-Landau (DGL) theory as an
useful effective theory of nonperturbative QCD. We then apply the DGL theory to
the studies of the low-lying hadron structure and the scalar glueball
properties.Comment: Talk given at 15th International Conference on Particle and Nuclei
(PANIC 99), Uppsala, Sweden, 10-16 Jun 1999, 4 page