A gauge-invariant object in non-Abelian gauge theory

We propose a non-local definition of a gauge-invariant object in terms of the Wilson loop operator in a non-Abelian gauge theory. The trajectory of the object 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...

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Bibliographic Details
Published inPhysics letters. B Vol. 634; no. 2-3; pp. 255 - 261
Main Author Chernodub, M.N.
Format Journal Article
LanguageEnglish
Published Elsevier B.V 09.03.2006
Subjects
14.80.Hv
11.15.Tk
12.38.Aw
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Summary:We propose a non-local definition of a gauge-invariant object in terms of the Wilson loop operator in a non-Abelian gauge theory. The trajectory of the object 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.
ISSN:0370-2693
1873-2445
DOI:10.1016/j.physletb.2006.01.062