2018/12/17 by Suganuma, Hideo, Sakumichi, Naoyuki
#FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th)
paper · doi:10.48550/arxiv.1812.06827
To check the dual superconductor picture for the quark-confinement mechanism, we evaluate monopole dominance as well as Abelian dominance of quark confinement for both quark-antiquark and three-quark systems in SU(3) quenched lattice QCD in the maximally Abelian (MA) gauge. First, we examine Abelian dominance for the static Q Q system in lattice QCD with various spacing a at β=5.8-6.4 and various size L3xLt. For large physical-volume lattices with La ≥ 2fm, we find perfect Abelian dominance of the string tension for the Q Q systems: σAbel ≃ σ. Second, we accurately measure the static 3Q potential for more than 300 different patterns of 3Q systems with 1000-2000 gauge configurations using two large physical-volume lattices: (β,L3xLt)=(5.8,163x32) and (6.0,203x32). For all the distances, the static 3Q potential is found to be well described by the Y-Ansatz: two-body Coulomb term plus three-body Y-type linear term σLmin, where Lmin is the minimum flux-tube length connecting the three quarks. We find perfect Abelian dominance of the string tension also for the 3Q systems: σAbel3Q≃ σ3Q ≃ σ. Finally, we accurately investigate monopole dominance in SU(3) lattice QCD at β=5.8 on 163x32 with 2,000 gauge configurations. Abelian-projected QCD in the MA gauge has not only the color-electric current jμ but also the color-magnetic monopole current kμ, which topologically appears. By the Hodge decomposition, the Abelian-projected QCD system can be divided into the monopole part (kμ≠ 0, jμ=0) and the photon part (jμ≠ 0, kμ=0). We find monopole dominance of the string tension for Q Q and 3Q systems: σMo≃ 0.92σ. While the photon part has almost no confining force, the monopole part almost keeps the confining force.