Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2004-07-08
Nucl.Phys.A670:40-47,2000
Physics
High Energy Physics
High Energy Physics - Lattice
Invited talk given at KEK-Tanashi International Symposium on Physics of Hadrons and Nuclei, Tokyo, Japan, 14-17 Dec 1998
Scientific paper
10.1016/S0375-9474(00)00066-X
We show the construction of the dual superconducting theory for the confinement mechanism from QCD in the maximally abelian (MA) gauge using the lattice QCD Monte Carlo simulation. We find that essence of infrared abelian dominance is naturally understood with the off-diagonal gluon mass $m_{\rm off} \simeq 1.2 {\rm GeV}$ induced by the MA gauge fixing. In the MA gauge, the off-diagonal gluon amplitude is forced to be small, and the off-diagonal gluon phase tends to be random. As the mathematical origin of abelian dominance for confinement, we demonstrate that the strong randomness of the off-diagonal gluon phase leads to abelian dominance for the string tension. In the MA gauge, there appears the macroscopic network of the monopole world-line covering the whole system. We investigate the monopole-current system in the MA gauge by analyzing the dual gluon field $B_\mu$. We evaluate the dual gluon mass as $m_B = 0.4 \sim$ 0.5GeV in the infrared region, which is the lattice-QCD evidence of the dual Higgs mechanism by monopole condensation. Owing to infrared abelian dominance and infrared monopole condensation, QCD in the MA gauge is describable with the dual Ginzburg-Landau theory.
Amemiya Kazuhisa
Ichie Hiroko
Suganuma Hideo
Tanaka Akihiro
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