The scaling dimension of low lying Dirac eigenmodes and of the topological charge density

As a quantitative measure of localization, the inverse participation ratio of low lying Dirac eigenmodes and topological charge density is calculated on quenched lattices over a wide range of lattice spacings and volumes. Since different topological objects (instantons, vortices, monopoles, and arti...

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Bibliographic Details
Published in:Nuclear physics. Section B, Proceedings supplement Proceedings supplement, 2005-03, Vol.140, p.626-628
Main Authors: Aubin, C., Bernard, C., Gottlieb, Steven, Gregory, E.B., Heller, Urs M., Hetrick, J.E., Osborn, J., Sugar, R., de Forcrand, Ph, Jahn, O.
Format: Article
Language:English
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Summary:As a quantitative measure of localization, the inverse participation ratio of low lying Dirac eigenmodes and topological charge density is calculated on quenched lattices over a wide range of lattice spacings and volumes. Since different topological objects (instantons, vortices, monopoles, and artifacts) have different co-dimension, scaling analysis provides information on the amount of each present and their correlation with the localization of low lying eigenmodes.
ISSN:0920-5632
1873-3832
DOI:10.1016/j.nuclphysbps.2004.11.312