Magnetic condensation, Abelian dominance, and instability of Savvidy vacuum in Yang-Mills theory

TL;DR

This paper introduces a new magnetic condensation mechanism from monopoles in Yang-Mills theory, explaining gluon mass generation, infrared Abelian dominance, and stabilizing the Savvidy vacuum, supporting quark confinement models.

Contribution

It presents a novel magnetic condensation approach that accounts for gluon mass, infrared dominance, and vacuum stability in Yang-Mills theory, advancing understanding of confinement.

Findings

Magnetic monopole-induced condensation generates gluon mass.

Infrared Abelian and monopole dominance are explained via a non-Abelian Stokes theorem.

The instability of Savvidy vacuum is resolved with sufficient magnetic condensation.

Abstract

We propose a novel type of color magnetic condensation originating from magnetic monopoles so that it provides the mass of off-diagonal gluons in the Yang-Mills theory. This dynamical mass generation enables us to explain the infrared Abelian dominance and monopole dominance by way of a non-Abelian Stokes theorem, which supports the dual superconductivity picture of quark confinement. Moreover, we show that the instability of Savvidy vacuum disappears by sufficiently large color magnetic condensation.