Low-lying Dirac eigenmodes and monopoles in 4D compact QED
نویسنده
چکیده
We study the correlations between the fluctuations of low-lying Dirac eigenfunctions and monopoles in quenched compact QED at β=0.99, 1.01 and 1.03, employing 12 × 12 lattices and the overlap formalism for the fermion action. Near-zero modes are found to have universal anti-correlations with monopoles below/above the critical β. In contrast to the result in QCD by Garcia-Garcia and Osborn, near-zero modes in the chiral restored phase are more delocalized than those in the chiral broken phase, which contradicts the Andersontransition (AT) scenario for the chiral phase transition. We also study the nearest-neighbor level spacing distribution and find a signal of a Wigner-Poisson transition. We make a possible speculation on the chiral phase transition in 4D compact QED.
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