Localized eigenmodes of the covariant lattice Laplacian
High Energy Physics - Lattice
2016-09-01 v1 High Energy Physics - Phenomenology
High Energy Physics - Theory
Abstract
We study numerically the eigenmode spectrum of the covariant lattice Laplacian, in the fundamental SU(2) color group representation. It is found that eigenmodes at the lower and upper ends of the spectrum are localized, and that the localization volume scales. In contrast, the eigenmodes of the lattice Faddeev-Popov operator are all extended rather than localized (as required for confinement) despite the similarity of the kinetic and Faddeev-Popov operators.
Keywords
Cite
@article{arxiv.hep-lat/0509070,
title = {Localized eigenmodes of the covariant lattice Laplacian},
author = {J. Greensite and S. Olejnik and M. I. Polikarpov and S. N. Syritsyn and V. I. Zakharov},
journal= {arXiv preprint arXiv:hep-lat/0509070},
year = {2016}
}
Comments
Talk presented by J. Greensite at Lattice2005 (Topology and Confinement), Dublin, July 25-30, 2005; 6 pages, 4 figures, uses PoS.cls; to appear in Proceedings of Science