%0 Journal Article %T Discriminating between two reformulations of SU(3) Yang-Mills theory on a lattice %A Akihiro Shibata %A Kei-Ichi Kondo %A Seikou Kato %A Toru Shinohara %J Physics %D 2014 %I arXiv %X In oder to investigate quark confinement, we give a new reformulation of the $SU(N)$ Yang-Mills theory on a lattice and present the results of the numerical simulations of the $SU(3)$ Yang-Mills theory on a lattice. The numerical simulations include the derivation of the linear potential for static interquark potential, i.e., non-vanishing string tension, in which the "Abelian" dominance and magnetic monopole dominance are established, confirmation of the dual Meissner effect by measuring the chromoelectric flux tube between quark-antiquark pair, the induced magnetic-monopole current, and the type of dual superconductivity, etc. %U http://arxiv.org/abs/1412.8009v1