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

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

2006-10-04

arxiv.org/abs/hep-lat/0610032v1

PoSLAT2006:068,2006

Physics

High Energy Physics

High Energy Physics - Lattice

7 pages, talk presented at Lattice 2006 (Confinement and Topology)

Scientific paper

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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