Dirac zero-modes in compact U(1) gauge theory

Physics – High Energy Physics – High Energy Physics - Lattice

Scientific paper

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Minor corrections, 15 pages, 5 figures, LaTeX style

Scientific paper

10.1088/1126-6708/2005/02/058

We study properties of the zero and near-zero eigenmodes of the overlap Dirac operator in compact U(1) gauge theory. In the confinement phase the exact zero-modes are localized as found by studying the values of the inverse participation ratio and other features. Non-zero-eigenmodes are less localized in the confinement phase. In the Coulomb phase no zero-modes are observed and the eigenmodes show no localization at all.

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