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

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.

arXiv commentLattice2004(topology), Fermilab, June 21 - 26, 2004; 3 pages, 3 figures

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