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

Authors

James E. Hetrick, University of the PacificFollow
C. Aubin, Fordham University

Department

Data Science

Document Type

Article

Publication Title

Nuclear Physics B - Proceedings Supplements

ISSN

0920-5632

Volume

140

Issue

1

DOI

10.1016/j.nuclphysbps.2004.11.312

First Page

1

Last Page

3

Publication Date

11-1-2005

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.

Recommended Citation

Hetrick, J. E., & Aubin, C. (2005). The scaling dimension of low lying Dirac eigenmodes and of the topological charge density. Nuclear Physics B - Proceedings Supplements, 140(1), 1–3. DOI: 10.1016/j.nuclphysbps.2004.11.312
https://scholarlycommons.pacific.edu/soecs-facarticles/172