Dual Meissner effect and non-Abelian dual superconductivity in SU(3) Yang-Mills theory

TL;DR

This paper investigates the dual Meissner effect in SU(3) Yang-Mills theory, providing evidence that non-Abelian dual superconductivity, via restricted U(2) fields, is a key mechanism for quark confinement.

Contribution

It introduces a gauge-independent lattice formulation of SU(N) YM theory and demonstrates the dominant role of non-Abelian magnetic monopoles in quark confinement.

Findings

Evidence of non-Abelian dual Meissner effect in SU(3) YM theory

Restricted U(2) fields dominate the flux tube formation

Non-Abelian magnetic monopoles are crucial for confinement

Abstract

The dual Meissner effect is the promising mechanism for quark confinement. We have proposed a new formulation of SU(N) Yang-Mills (YM) theory on a lattice, which can extract the dominant mode for quark confinement in the gauge independent manner. In the last lattice conference, we have demonstrated by measuring the string tension from the Wilson loop average in the SU(3) YM theory that the restricted non-Abelian variable and the extracted non-Abelian magnetic monopoles play the dominant role in confinement of fundamental quarks (dominance in the string tension), in marked contrast to the Abelian projection. In this talk, we focus on the dual Meissner effect in SU(3) YM theory, which is examined by measuring the distribution of chromo-electric field strength created by a static quark-antiquark pair. We apply the new lattice formulation, and examine whether or not the non-Abelian dual superconductivity claimed by us is indeed a mechanism of quark confinement. We present a preliminary result of the direct evidence for the non-abelian dual Meissner effect, that is to say, restricted U(2)-field part of the flux tube plays the dominant role in the quark-antiquark potential.