1999/03/29 by Tanaka, Atsunori, Suganuma, Hideo
#FOS: Physical sciences #High Energy Physics - Lattice (hep-lat)
paper · doi:10.48550/arxiv.hep-lat/9903038
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 Bμ. 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 mB ≃ 0.5GeV and the effective monopole size R_^\rm M ≃ 0.2fm. Second, we study the dual gluon propagator GDμν(x-y) ≡ < Bμ(x) Bν(y) >\rm MA in the MA gauge, and find that GDμμ behaves as the massive vector-boson propagator with mB ≃ 0.4 GeV in the infrared region. The effective-mass acquirement of the dual gluon field Bμ at the long distance can be regarded as the lattice QCD evidence of ``infrared monopole condensation'' in the MA gauge.