Localized eigenmodes of the covariant lattice Laplacian

Details Localized eigenmodes of the covariant lattice Laplacian Localized eigenmodes of the covariant lattice Laplacian

2005-09-21

arxiv.org/abs/hep-lat/0509070v1

PoS LAT2005 (2005) 325

Physics

High Energy Physics

High Energy Physics - Lattice

Talk presented by J. Greensite at Lattice2005 (Topology and Confinement), Dublin, July 25-30, 2005; 6 pages, 4 figures, uses P

Scientific paper

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.

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