Discriminating between two reformulations of SU(3) Yang-Mills theory on a lattice

Abstract

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.

Comments: 12 pages, 9 figures, 1 table, a contribution to Proc. of XIth Quark Confinement and the Hadron Spectrum (QCHSXI), 8-12 September 2014, St Petersburg, Russia