The scaling dimension of low lying Dirac eigenmodes and of the topological charge density
MILC Collaboration, C. Aubin, C. Bernard, Steven Gottlieb, E. B. Gregory, Urs M. Heller, J. E. Hetrick, J. Osborn, R. Sugar, D. Toussaint, with, :, Ph. de Forcrand, O. Jahn
Abstract
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.
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