A gauge-invariant object in non-Abelian gauge theory
Abstract
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.
Cite
@article{arxiv.hep-lat/0503018,
title = {A gauge-invariant object in non-Abelian gauge theory},
author = {M. N. Chernodub},
journal= {arXiv preprint arXiv:hep-lat/0503018},
year = {2011}
}
Comments
11 pages, 2 figures, RevTeX4; references added, substantial revisions, replaced to match version accepted for publication