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arXiv · 0802.3829

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

Kei-Ichi Kondo
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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.

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Kei-Ichi Kondo. 2008-06-16. Magnetic monopoles and center vortices as gauge-invariant topological defects simultaneously responsible for confinement. https://doi.org/10.1088/0954-3899%2F35%2F8%2F085001

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