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

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

2007-03-23

arxiv.org/abs/hep-lat/0703023v3

JHEP0711:047,2007

Physics

High Energy Physics

High Energy Physics - Lattice

10 pages, 6 figures, 1 tables

Scientific paper

10.1088/1126-6708/2007/11/047

We study the properties of low-lying Dirac modes in quenched compact QED at $\beta$=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 $\beta$. 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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