Localization in Lattice Gauge Theory and a New Multigrid Method

Physics – High Energy Physics – High Energy Physics - Lattice

Scientific paper

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LATeX style, 11 pages (plus 4 figure pages). Figure pages are available as uuencoded ps-file via anonymous ftp from x4u2.desy.

Scientific paper

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.

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