Non-Abelian dual superconductivity and Gluon propagators in the deep IR region for SU(3) Yang-Mills theory

TL;DR

This paper provides numerical evidence supporting the non-Abelian dual superconductivity mechanism for quark confinement in SU(3) Yang-Mills theory, highlighting the roles of restricted fields and magnetic monopoles in the deep infrared region.

Contribution

It introduces a new lattice formulation of SU(3) YM theory demonstrating non-Abelian dual superconductivity and magnetic monopole dominance in quark confinement.

Findings

Dual superconductivity in SU(3) YM is type I.

Restricted field and magnetic monopoles reproduce the dual Meissner effect.

Contrasts with SU(2) case, showing a border between type I and II.

Abstract

We have proposed the non-Abelian dual superconductivity picture for quark confinement in the SU(3) Yang-Mills (YM) theory, and have given numerical evidences for the restricted-field dominance and the non-Abelian magnetic monopole dominance in the string tension by applying a new formulation of the YM theory on a lattice. To establish the non-Abelian dual superconductivity picture for quark confinement, we have observed the non-Abelian dual Meissner effect in the SU(3) Yang-Mills theory by measuring the chromoelectric flux created by the quark-antiquark source, and the non-Abelian magnetic monopole currents induced around the flux. We conclude that the dual superconductivity of the SU(3) Yang-Mills theory is strictly the type I and that this type of dual superconductivity is reproduced by the restricted field and the non-Abelian magnetic monopole part, in sharp contrast to the SU(2) case: the border of type I and type II.