Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2005-03-16
Phys.Lett.B634:255-261,2006
Physics
High Energy Physics
High Energy Physics - Lattice
11 pages, 2 figures, RevTeX4; references added, substantial revisions, replaced to match version accepted for publication
Scientific paper
10.1016/j.physletb.2006.01.062
We propose a nonlocal definition of a gauge-invariant object in terms of the Wilson loop operator in a non--Abelian gauge theory. The trajectory is a closed curve defined by an (untraced) Wilson loop which takes its value in the center of the color group. We show that definition shares basic features with the gauge-dependent 't Hooft construction of Abelian monopoles in Yang-Mills theories. The chromoelectric components of the gluon field have a hedgehog-like behavior in the vicinity of the object. This feature is dual to the structure of the 't Hooft-Polyakov monopoles which possesses a hedgehog in the magnetic sector. A relation to color confinement and lattice implementation of the proposed construction are discussed.
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