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

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

hep-latarXiv:hep-lat/0610032

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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