Zooming-in on the SU(2) fundamental domain
High Energy Physics - Lattice
2009-10-22 v2 High Energy Physics - Theory
Abstract
For SU(2) gauge theories on the three-sphere we analyse the Gribov horizon and the boundary of the fundamental domain in the 18 dimensional subspace that contains the tunnelling path and the sphaleron and on which the energy functional is degenerate to second order in the fields. We prove that parts of this boundary coincide with the Gribov horizon with the help of bounds on the fundamental modular domain.
Keywords
Cite
@article{arxiv.hep-lat/9310005,
title = {Zooming-in on the SU(2) fundamental domain},
author = {Pierre van Baal and Bas van den Heuvel},
journal= {arXiv preprint arXiv:hep-lat/9310005},
year = {2009}
}
Comments
19p., 6 figs. appended in PostScript (uuencoded), preprint INLO-PUB-12/93. Revision: ONLY change is a much more economic PostScript code for figures 1-4 (with apologies)