Gauge-invariant gluon mass, infrared Abelian dominance and stability of magnetic vacuum

TL;DR

This paper presents a gauge-invariant analytical approach to demonstrate infrared Abelian dominance in SU(2) Yang--Mills theory, supporting the dual superconductivity model of quark confinement and discussing magnetic vacuum stability.

Contribution

It introduces a gauge-invariant mechanism for dynamical Abelian projection and provides analytical evidence for infrared Abelian dominance in Yang--Mills theory.

Findings

Supports dual superconductivity as a confinement mechanism

Demonstrates gauge-invariant Abelian dominance analytically

Discusses stability of magnetic vacuum with condensation

Abstract

We give an argument for deriving analytically the infrared ``Abelian'' dominance in a gauge invariant way for the Wilson loop average in SU(2) Yang--Mills theory. In other words, we propose a possible mechanism for realizing the dynamical Abelian projection in the SU(2) gauge-invariant manner without breaking color symmetry. This supports validity of the dual superconductivity picture for quark confinement. We also discuss the stability of the vacuum with magnetic condensation as a by-product of this result.