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

TL;DR

This paper introduces a new lattice reformulation of SU(3) Yang-Mills theory to study quark confinement, demonstrating Abelian dominance, magnetic monopole effects, and dual superconductivity through numerical simulations.

Contribution

The paper presents a novel reformulation of SU(3) Yang-Mills theory on a lattice and provides numerical evidence supporting the dual superconductor picture of confinement.

Findings

Linear potential with non-zero string tension confirmed

Abelian and magnetic monopole dominance established

Dual Meissner effect observed in flux tube measurements

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.