We calculate the low-lying eigenmodes of the Neuberger overlap-Dirac operator for 4d compact lattice QED in the quenched approximation. In the strong coupling phase we find exact zero-modes, quite similar as in non-Abelian lattice QCD. Subsequently we make an attempt to identify responsible topological excitations of the U(1) lattice gauge theory.
@article{arxiv.hep-lat/0103022,
title = {Exact Zero-Modes of the Compact QED Dirac Operator},
author = {Bernd A. Berg and Urs M. Heller and Harald Markum and Rainer Pullirsch and Wolfgang Sakuler},
journal= {arXiv preprint arXiv:hep-lat/0103022},
year = {2009}
}