1995/03/12 by Rajamani Narayanan, Herbert Neuberger, Pavlos Vranas · 62 citations
Physics and Astronomy · #Bilinear interpolation #Black Holes and Theoretical Physics #Charge (physics) #Fermion #Formalism (music) #Gauge symmetry #Gauge theory #Lattice (music) #Massless particle #Quantum Chromodynamics and Particle Interactions #Quantum and Classical Electrodynamics #Topological quantum number #hep-lat #hep-th
paper · pdf · open access · doi:10.1016/0370-2693(95)00558-3
published in Physics Letters B 353(4), 507-512 (Elsevier BV) · Plain TeX file, 9 pages.
arxiv created 1995/03/12 · openalex publication_date 1995/07/01 · openalex created_date 2016/06/24 · arxiv updated 2016/09/01 · openalex updated_date 2026/08/05
In the continuum, the single flavor massless Schwinger model has an exact global axial U(1) symmetry in the sector of perturbative gauge fields. This symmetry is explicitly broken by gauge fields with nonzero topological charge inducing a nonzero expectation value for the bilinear ψψ. We show that a lattice formulation of this model, using the overlap formalism to treat the massless fermions, explicitly exhibits this phenomenon. A Monte Carlo simulation of the complete system yields the correct value of the fermion condensate and shows unambiguously that it originates from the sector of topological charge equal to unity.