Journal
PHYSICS LETTERS B
Volume 645, Issue 1, Pages 67-74Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.physletb.2006.11.066
Keywords
lattice gauge theory; magnetic monopole; monopole condensation; monopole dominance; quark confinement
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In this Letter 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. (c) 2006 Published by Elsevier B.V.
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