Low-lying Dirac eigenmodes and monopoles in 3+1D compact QED
نویسنده
چکیده
We study the properties of low-lying Dirac modes in quenched compact QED at β = 1.01, employing 12 ×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/above the “phase transition temperature” Tc. Near-zero modes are found to have universal anticorrelations 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.
منابع مشابه
Low-lying Dirac eigenmodes and monopoles in 4D compact QED
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...
متن کاملComputation of eigenmodes on a compact hyperbolic space
Measurements of CMB anisotropy are ideal experiments for discovering the non-trivial global topology of the universe. To evaluate the CMB anisotropy in multiply-connected(MC) compact cosmological models, one needs to compute the eigenmodes of the Laplace-Beltrami operator. We numerically obtain the low-lying eigenmodes on a compact 3-hyperbolic space called m003(−2, 3) in the SnapPea using the ...
متن کاملar X iv : h ep - l at / 0 11 10 55 v 1 2 8 N ov 2 00 1
We use low lying eigenvectors of the overlap-Dirac operator as a probe of the QCD vacuum. If instantons play a significant role one would expect the low lying eigenmodes of the overlap-Dirac operator to consist mainly of the mixed “would be zero modes”. Then, the eigenmodes should exhibit local chirality. Studying a recently introduced local chirality parameter, we find evidence supporting this...
متن کاملX iv : a st ro - p h / 98 10 03 4 v 3 2 3 Ju n 19 99 Computation of eigenmodes on a compact hyperbolic 3 - space
Measurements of cosmic microwave background (CMB) anisotropy are ideal experiments for discovering the non-trivial global topology of the universe. To evaluate the CMB anisotropy in multiply-connected compact cosmological models, one needs to compute the eigenmodes of the Laplace-Beltrami operator. Using the direct boundary element method, we numerically obtain the low-lying eigenmodes on a com...
متن کاملLow-lying Fermion Modes of N F = 2 Improved Wilson Fermions
We present preliminary results for the topological charge and susceptibility determined from the low-lying eigenmodes of the Wilson-Dirac operator. These modes have been computed on dynamical configurations with N f = 2 non-perturbatively improved Wilson fermions. We compare our results with the eigenmodes of fermions in the quenched approximation.
متن کامل