Correct way to extract dominant part of the Wilson loop in higher representations
Abstract
The Abelian dominance for the string tension was shown for the fundamental sources in MA gauge in the lattice simulations. For higher representations, however, it is also known that the naive "Abelian" Wilson loop, which is defined by using the diagonal part of the gauge field, does not reproduce the correct behavior. To solve this problem, for an arbitrary representation of an arbitrary compact gauge group, we propose to redefine the "Abelian" Wilson loop. By using this redefined operator, we demonstrate the "Abelian" dominance for sources in the adjoint representation and the sextet representation of gauge group in lattice simulations.
Keywords
Cite
@article{arxiv.1812.05868,
title = {Correct way to extract dominant part of the Wilson loop in higher representations},
author = {Ryutaro Matsudo and Akihiro Shibata and Seikou Kato and Kei-Ichi Kondo},
journal= {arXiv preprint arXiv:1812.05868},
year = {2018}
}
Comments
8 pages, 4 figures, talk given at the XIII Quark Confinement and the Hadron Spectrum (Confinement 2018) from 31 July to 6 August 2018, Maynooth University, Ireland. arXiv admin note: text overlap with arXiv:1812.05827