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

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.

preprint2006arXivOpen access
S. KatoS. ItoK. -I. KondoT. MurakamiA. ShibataT. Shinohara
hep-lat
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S. KatoS. ItoK. -I. KondoT. MurakamiA. ShibataT. Shinohara

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