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arXiv · 0803.2216

Low-lying Dirac eigenmodes and monopoles in 3+1D compact QED

Toru T. Takahashi
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Abstract

We study the properties of low-lying Dirac modes in quenched compact QED at $β=1.01$, employing $12^3\times N_t$ ($N_t =4,6,8,10,12$) 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'' $T_c$. Near-zero modes are found to have universal anti-correlations with monopole currents, and are found to lose their temporal structures above $T_c$ exhibiting stronger spatial localization properties. We also study the nearest-neighbor level spacing distribution of Dirac eigenvalues and find a Wigner-Poisson transition.

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Toru T. Takahashi. 2008-05-30. Low-lying Dirac eigenmodes and monopoles in 3+1D compact QED. https://doi.org/10.1088/1126-6708%2F2008%2F05%2F094

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