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arXiv · hep-lat/0610032

Quark confinement and gauge invariant monopoles in SU(2) YM

S. Kato·S. Ito·K. -I. Kondo·T. Murakami·A. Shibata·T. Shinohara
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Abstract

We give a short review of recently obtained results on a new lattice formulation of the non-linear change of variables which was once called the Cho--Faddeev--Niemi decomposition in SU(2) Yang-Mills theory. Based on this formulation, we proposed a new gauge-invariant definition of the magnetic monopole current which guarantees the magnetic charge quantization. We also demonstrated the magnetic monopole dominance in the string tension in SU(2) Yang-Mills theory on a lattice. Our formulation enables one to reproduce in the gauge-invariant way remarkable results obtained so far only in the Maximally Abelian gauge.

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S. Kato, S. Ito, K. -I. Kondo, T. Murakami, A. Shibata, T. Shinohara. 2006-10-04. Quark confinement and gauge invariant monopoles in SU(2) YM. https://arxiv.org/abs/hep-lat/0610032

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