1999/03/04 by T. Reisz, Heinz J. Rothe, H. J. Rothe · 1 citation
Mathematics · Physics and Astronomy · #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #Spectral Theory in Mathematical Physics #hep-lat
paper · pdf · doi:10.1016/s0370-2693(99)00491-8
published as Phys.Lett. B455 (1999) 246-250 · 7 pages, Latex2e, some misprints removed, reference inserted
arxiv created 1999/03/04 · openalex publication_date 1999/05/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We give a perturbative proof that U(1) lattice gauge theories generate the axial anomaly in the continuum limit under very general conditions on the lattice Dirac operator. These conditions are locality, gauge covariance and the absense of species doubling. They hold for Wilson fermions as well as for realizations of the Dirac operator that satisfy the Ginsparg-Wilson relation. The proof is based on the lattice power counting theorem.