Localization in Lattice Gauge Theory and a New Multigrid Method

Abstract

We show numerically that the lowest eigenmodes of the 2-dimensional Laplace-operator with SU(2) gauge couplings are strongly localized. A connection is drawn to the Anderson-Localization problem. A new Multigrid algorithm, capable to deal with these modes, shows no critical slowing down for this problem.

Comments: LATeX style, 11 pages (plus 4 figure pages). Figure pages are available as uuencoded ps-file via anonymous ftp from x4u2.desy.de, get pub/outgoing/baeker/heplat.uu. DESY-preprint 94-079