2007/03/31 by Toru T. Takahashi, Toru T Takahashi · 1 citation
Physics and Astronomy · #Dirac (video compression format) #Dirac fermion #Eigenvalues and eigenvectors #Fermion #Formalism (music) #Magnetic monopole #Phase transition #Quantum Chromodynamics and Particle Interactions #Quantum Mechanics and Non-Hermitian Physics #Topological Materials and Phenomena #hep-lat
paper · pdf · doi:10.1088/1126-6708/2007/11/047
published in Journal of High Energy Physics 2007(11), 047 (Springer Nature) · 10 pages, 6 figures, 1 tables
arxiv created 2007/11/09 · openalex publication_date 2007/11/15 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We study the properties of low-lying Dirac modes in quenched compact QED at β=0.99, 1.01 and 1.03, employing 123× 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.