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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
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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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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. 2004-10-18. The scaling dimension of low lying Dirac eigenmodes and of the topological charge density. https://arxiv.org/abs/hep-lat/0410024

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