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arXiv · hep-lat/9903038

Dual Higgs Mechanism based on the Dual Gauge Formalism in the Lattice QCD

Atsunori Tanaka·Hideo Suganuma
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Abstract

We study the dual Higgs mechanism induced by monopole condensation based on the dual gauge formalism in the maximally abelian (MA) gauge in the lattice QCD. To examine ``monopole condensation'' in QCD, we study the monopole part or the monopole-current system appearing in the MA gauge by extracting the dual gluon field $B_μ$. First, we investigate the inter-monopole potential using the dual Wilson loop in the lattice QCD simulation. In the monopole part in the MA gauge, the inter-monopole potential is found to be flat, and can be fitted as the Yukawa potential in the infrared region. From more detailed analysis of the inter-monopole potential considering the monopole size, we estimate the effective dual-gluon mass $m_B \simeq 0.5$GeV and the effective monopole size $R_{^{_{\rm M}}} \simeq 0.2$fm. Second, we study the dual gluon propagator $G^D_{μν}(x-y) \equiv < B_μ(x) B_ν(y) >_{\rm MA}$ in the MA gauge, and find that $G^D_{μμ}$ behaves as the massive vector-boson propagator with $m_B \simeq 0.4$ GeV in the infrared region. The effective-mass acquirement of the dual gluon field $B_μ$ at the long distance can be regarded as the lattice QCD evidence of ``infrared monopole condensation'' in the MA gauge.

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BibTeXRIS

Atsunori Tanaka, Hideo Suganuma. 1999-03-29. Dual Higgs Mechanism based on the Dual Gauge Formalism in the Lattice QCD. https://arxiv.org/abs/hep-lat/9903038

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