We study the properties of low-lying Dirac modes in quenched compact QED at β=1.01, employing 123×Nt (Nt=4,6,8,10,12) lattices and the overlap formalism for the fermion action. We pay attention to the spatial distributions of low-lying Dirac modes below and above the ``phase transition temperature'' Tc. Near-zero modes are found to have universal anti-correlations with monopole currents, and are found to lose their temporal structures above Tc exhibiting stronger spatial localization properties. We also study the nearest-neighbor level spacing distribution of Dirac eigenvalues and find a Wigner-Poisson transition.
@article{arxiv.0803.2216,
title = {Low-lying Dirac eigenmodes and monopoles in 3+1D compact QED},
author = {Toru T. Takahashi},
journal= {arXiv preprint arXiv:0803.2216},
year = {2008}
}