Dual HiggsMechanism and Nonperturbative QCD

We study the dual Higgs mechanism for the nonperturbative QCD. We point out two kind of the “seesaw” relations between electric and magnetic sectors. Owing to the Dirac condition eg = 4π, the dual Ginzburg-Landau theory has the asymptotic freedom nature on the gauge coupling constant e, where the “walking coupling constant” is predicted for e in the infrared region. We study also QCD-monopoles and instantons, which are two relevant topological objects in QCD. Strong correlations between the QCDmonopole trajectory and the topological charge are found both in the continuum theory and in the lattice gauge theory.