Exact Zero-Modes of the Compact QED Dirac Operator

Physics – High Energy Physics – High Energy Physics - Lattice

Scientific paper

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10 pages, 4 figures, minor changes (typos corrected, table updated, reference added)

Scientific paper

10.1016/S0370-2693(01)00767-5

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.

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