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Zero-modes of the QED Neuberger Dirac operator

Bernd A. Berg, Urs M. Heller, Harald Markum, Rainer Pullirsch, Wolfgang Sakuler

hep-latarXiv:hep-lat/0110046

Abstract

We consider 4d compact lattice QED in the quenched approximation. First, we briefly summarize the spectrum of the staggered Dirac operator and its connection with random matrix theory. Afterwards we present results for the low-lying eigenmodes of the Neuberger overlap-Dirac operator. In the strong coupling phase we find exact zero-modes. Subsequently we discuss possibly related topological excitations of the U(1) lattice gauge theory.

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