Construction of the Dual Ginzburg-Landau Theory from the Lattice QCD

Abstract

We briefly review the QCD physics and then introduce recent topics on the confinement physics. In the maximally abelian (MA) gauge, the low-energy QCD is abelianized owing to the effective off-diagonal gluon mass $M_{\mathrm{off}}\simeq 1.2\mathrm{GeV}$ induced by the MA gauge fixing. We demonstrate the construction of the dual Ginzburg-Landau (DGL) theory from the low-energy QCD in the MA gauge in terms of the lattice QCD evidences on infrared abelian dominance and infrared monopole condensation.

Comments: Invited talk given at International Symposium on Nuclear Electro-Weak Spectroscopy for Symmetries and Electro-Weak Nuclear-Processes, Osaka, Japan, 9-12 Mar 1999