Magnetic monopoles and center vortices as gauge-invariant topological defects simultaneously responsible for confinement

Abstract

We give a gauge-invariant definition of the vortex surface in SU(N) Yang-Mills theory without using the gauge fixing procedure. In this construction, gauge-invariant magnetic monopoles with fractional magnetic charges emerge in the boundary of the non-oriented vortex surface such that the asymptotic string tension reproduces the correct $N$-ality dependence. We show that gauge-invariant magnetic monopoles and vortices are simultaneously responsible for quark confinement in four dimensional spacetime based on the Wilson criterion. These results are extracted from a non-Abelian Stokes theorem derived in the previous paper.

20 (Cover+19) pages, 3 figures; version to be published in J. Phys. G: Nucl. Part. Phys

References in corpus (7)

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• Gauge-invariant gluon mass, infrared Abelian dominance and stability of magnetic vacuum
• Compact lattice formulation of Cho-Faddeev-Niemi decomposition: gluon mass generation and infrared Abelian dominance
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Cited by in corpus (7)

• Quark confinement: dual superconductor picture based on a non-Abelian Stokes theorem and reformulations of Yang-Mills theory
• Reformulating SU(N) Yang-Mills theory based on change of variables
• New descriptions of lattice SU(N) Yang-Mills theory towards quark confinement
• Magnetic Monopole Loops supported by a Meron pair as the Quark Confiner
• Introducing vortices in the continuum using direct and indirect methods
• How to extract the dominant part of the Wilson loop average in higher representations
• Direct and Indirect Methods of Vortex Identification in Continuum limit