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

1412.8489Dec 29, 2014Invited talk at International Conference on "Quark Confinement and the Hadron Spectrum XI" (confinement XI), St. Petersburg, Russia, 7-13 Sep. 2014

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

Hideo Suganuma, Naoyuki Sakumichi

Lattice Phenomenology Theory

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Abstract

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 $32^4$ at $β$ =6.4 (i.e., $a \simeq$ 0.058 fm). We investigate the static quark-antiquark potential $V(r)$ , its Abelian part $V_{\rm Abel}(r)$

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and its off-diagonal part

V_{\rm 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_{\rm Abel} \simeq σ

for the string tension, on the fine and large-volume lattice. We find also a nontrivial summation relation of

V(r) \simeq V_{\rm Abel}(r) + V_{\rm off}(r)

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