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arXiv · hep-lat/0703023

Low-lying Dirac eigenmodes and monopoles in 4D compact QED

Toru T. Takahashi
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Abstract

We study the properties of low-lying Dirac modes in quenched compact QED at $β$=0.99, 1.01 and 1.03, employing $12^3\times 12$ lattices and the overlap formalism for the fermion action. We pay special attention to the spatial distributions of the low-lying Dirac modes. Near-zero modes are found to have universal anti-correlations with monopole currents below/above the critical $β$. We also study the nearest-neighbor level spacing distribution of Dirac eigenvalues 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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Toru T. Takahashi. 2007-11-09. Low-lying Dirac eigenmodes and monopoles in 4D compact QED. https://doi.org/10.1088/1126-6708%2F2007%2F11%2F047

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