Connections between Thin,Thick and Projection Vortices in SU(2) Lattice Gauge Theory
Abstract
We elucidate the connection between and the usual SU(2) configuration variables. By exploiting the freedom of choosing a particular SO(3) representative we find a direct connection between the two configuration spaces. We are then able to compare the Kovacs-Tomboulis formulation of center vortices with the projection vortex formulation on the same configuration. Choosing a different representative, and going to the maximal center gauge, we show that projection vortices occur without approximation. The projection vortex dominance approximation results from dropping a factor in an exact expression for the Wilson loop.
Keywords
Cite
@article{arxiv.hep-lat/0205002,
title = {Connections between Thin,Thick and Projection Vortices in SU(2) Lattice Gauge Theory},
author = {Richard W. Haymaker and Andrei Alexandru},
journal= {arXiv preprint arXiv:hep-lat/0205002},
year = {2007}
}
Comments
8 pages, 2 eps figures. Contributed to NATO Advanced Research Workshop on Confinement, Topology, and other Nonperturbative Aspects of QCD, Stara Lesna, Slovakia, 21-27 Jan 2002