Perfect Abelian dominance of confinement in quark-antiquark potential in SU(3) lattice QCD

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In the context of the dual superconductor picture for the confinement mechanism, we study maximally Abelian (MA) projection of quark confinement in SU(3) quenched lattice QCD with 32⁴ at β=6.4 (i.e., a ≃ 0.058 fm). We investigate the static quark-antiquark potential V(r), its Abelian part V Abel(r) and its off-diagonal part V off(r), respectively, from the on-axis lattice data. As a remarkable fact, we find almost perfect Abelian dominance for quark confinement, i.e., σ Abel ≃ σ for the string tension, on the fine and large-volume lattice. We find also a nontrivial summation relation of V(r) ≃ V Abel(r) + V off(r).