Compact lattice formulation of Cho-Faddeev-Niemi decomposition: string tension from magnetic monopoles

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dc.creatorIto, S.
dc.creatorKato, S.
dc.creatorKondo, K. -I.
dc.creatorMurakami, T.
dc.creatorShibata, A.
dc.creatorShinohara, T.
dc.date2006-04-20
dc.date2006-11-06
dc.date.accessioned2026-07-07T10:24:43Z
dc.date.available2026-07-07T10:24:43Z
dc.descriptionIn 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.
dc.description14 pages, v2: minor corrections; v3: explanations added and improved
dc.identifierhttps://arxiv.org/abs/hep-lat/0604016
dc.identifierhttp://arxiv.org/abs/hep-lat/0604016
dc.identifierPhys.Lett.B645:67-74,2007
dc.identifierdoi:10.1016/j.physletb.2006.11.066
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/176285
dc.subjectHigh Energy Physics - Lattice
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectHigh Energy Physics - Theory
dc.titleCompact lattice formulation of Cho-Faddeev-Niemi decomposition: string tension from magnetic monopoles
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