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

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

2008-02-26

arxiv.org/abs/0802.3829v2

J.Phys.G35:085001,2008

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1088/0954-3899/35/8/085001

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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