1999/02/20 by Yoshio Kikukawa, Y. Kikukawa, T. Noguchi · 2 citations
Mathematics · Physics and Astronomy · #Action (physics) #Black Holes and Theoretical Physics #Chiral anomaly #Dirac fermion #Dirac operator #Domain (mathematical analysis) #Domain wall (magnetism) #Effective action #Fermion #Field (mathematics) #Geometry #Inverse #Magnetic field #Mathematical analysis #Mathematical physics #Mathematics #Operator (biology) #Physics #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Symmetry (geometry) #Topological Materials and Phenomena #hep-lat
paper · pdf · doi:10.1016/s0920-5632(00)91758-4
35 pages, LaTeX2e, references added and updated, minor corrections
arxiv created 1999/02/20 · openalex publication_date 2000/04/01 · arxiv updated 2015/06/25 · openalex created_date 2019/06/27 · openalex updated_date 2026/08/05
We derive the effective action of the light fermion field of the domain-wall fermion, which is referred as q(x) by Furman and Shamir. The inverse of the effective Dirac operator turns out to be identical to the inverse of the truncated overlap Dirac operator, except a local contact term which would give the chiral symmetry breaking in the Ginsparg-Wilson relation. This result allows us to relate the light fermion field and the fermion field described by the truncated overlap Dirac operator and to understand the chiral property of the light fermion through the exact chiral symmetry based on the Ginsparg-Wilson relation.