Non-Abelian Stokes theorem for the Wilson loop operator in an arbitrary representation and its implication to quark confinement
High Energy Physics - Theory
2016-01-06 v2 High Energy Physics - Phenomenology
Abstract
We give a gauge-independent definition of magnetic monopoles in the Yang-Mills theory through the Wilson loop operator. For this purpose, we give an explicit proof of the Diakonov-Petrov version of the non-Abelian Stokes theorem for the Wilson loop operator in an arbitrary representation of the gauge group to derive a new form for the non-Abelian Stokes theorem. The new form is used to extract the magnetic-monopole contribution to the Wilson loop operator in a gauge-invariant way, which enables us to discuss confinement of quarks in any representation from the viewpoint of the dual superconductor vacuum.
Cite
@article{arxiv.1509.04891,
title = {Non-Abelian Stokes theorem for the Wilson loop operator in an arbitrary representation and its implication to quark confinement},
author = {Ryutaro Matsudo and Kei-Ichi Kondo},
journal= {arXiv preprint arXiv:1509.04891},
year = {2016}
}
Comments
12 pages, 5 figures, minor changes, a version to be published in Physical Review D. arXiv admin note: text overlap with arXiv:1409.1599