Instantons and Monopoles in the Nonperturbative QCD
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概要
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On the basis of the dual-superconductor picture, we study the confinement physics in QCD in terms of the topological objects as monopoles in the maximally abelian (MA) gauge using the SU(2) lattice QCD. In the MA gauge, the off-diagonal gluon component is forced to be small, and hence microscopic abelian dominance on the link variable is observed in the lattice QCD for the whole region of β. By regarding the angle variable in the off-diagonal factor as a random variable, we derive the analytical formula of the off-diagonal gluon contribution W^<off>_c to the Wilson loop in relation with the microscopic variable of the diagonal gluon component in the MA gauge. We find that W^<off>_c obeys the perimeter law, which leads to abelian dominance on the string tension. To clarify the origin of abelian dominance for the long-range physics, we study the charged-gluon propagator in the MA gauge using the lattice QCD, and find that the effective mass m_<ch>≃0.9 GeV of the charged gluon is induced by the MA gauge fixing. In the MA gauge, there appears the macroscopic network of the monopole world-line covering the whole system, which would be identified as monopole condensation at a large scale. To prove monopole condensation in the fieldtheoretical manner, we apply the dual gauge formalism to the monopole part, and derive the inter-monopole potential from the dual Wilson loop in the MA gauge. In the monopole part. which carries the nonperturbative aspects of QCD, the dual gluon mass is evaluated as m_B≃0.5 GeV in the infrared region, which is the evidence of the dual Higgs mechanim by monopole condensation. We study the action density around the QCD-monopole in the MA gauge. Around the monopole in the MA gauge, there remains the large fluctuation of off-diagonal gluons, and large cancellation occurs between the diagonal and off-diagonal action densities to keep the total QCD action finite. The charged-gluon rich region around the QCD-monopole would provide the effective monopole size as the critical scale of the abelian projected QCD. Instantons are expected to appear in the charged-gluon rich region around the monopole world-line in the MA gauge, which leads to the local correlation between monopoles and instantons.
- 1998-10-14
著者
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Hideo Suganuma
Department Of Physics Kyoto University
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Ichie Hiroko
Research Center For Nuclear Physics (rcnp) Osaka University
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Suganuma H
Research Center For Nuclear Physics (rcnp) Osaka University
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Suganuma Hideo
Research Center For Nuclear Physics (rcnp) Osaka University
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Tanaka Atushi
Department Of Physics Tokyo Metropolitan University
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TANAKA Atsunori
Research Center for Nuclear Physics (RCNP), Osaka University
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AMEMIYA Kazuhisa
Research Center for Nuclear Physics (RCNP), Osaka University
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Tanaka Atsunori
Research Center For Nuclear Physics (rcnp) Osaka University
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Amemiya Kazuhisa
Research Center For Nuclear Physics (rcnp) Osaka University
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TANAKA Akiko
Department of Physics, Kyoto Sangyo University
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Tanaka Azuma
Research Center for Nuclear Physics (RCNP), Osaka University
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