arXiv:hep-lat/0410024·v1·High Energy Physics — Lattice
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.
Comments: Lattice2004(topology), Fermilab, June 21 - 26, 2004; 3 pages, 3 figures