Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2006-04-20
Phys.Lett.B645:67-74,2007
Physics
High Energy Physics
High Energy Physics - Lattice
14 pages, v2: minor corrections; v3: explanations added and improved
Scientific paper
10.1016/j.physletb.2006.11.066
In this paper we begin on a new lattice formulation of the non-linear change of variables called the Cho--Faddeev--Niemi decomposition in SU(2) Yang-Mills theory. This is a compact lattice formulation improving the non-compact lattice formulation proposed in our previous paper. Based on this formulation, we propose a new gauge-invariant definition of the magnetic monopole current which guarantees the magnetic charge quantization and reproduces the conventional magnetic-current density obtained in the Abelian projection based on the DeGrand--Toussaint method. Finally, we demonstrate 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.
Ito Setsuko
Kato Shoji
Kondo Kei-Ichi
Murakami Tadayoshi
Shibata Akihiro
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