Chiral fermions on the lattice

1993/08/11 by Rajamani Narayanan, Herbert Neuberger · 8 citations
Physics and Astronomy · #Atomic and Subatomic Physics Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-lat #hep-th

paper · pdf · doi:10.1103/physrevlett.71.3251

published as Phys.Rev.Lett. 71 (1993) 3251-3254 · 9p, Postscript file, RU--93--34

arxiv created 1993/08/11 · openalex publication_date 1993/11/15 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

An expression for the lattice efective action induced by chiral fermions in any even dimensions in terms of an overlap of two states is shown to have promising properties in two dimensions: The correct Abelian anomaly is reproduced and instantons are suppressed.

Citations

• A method for simulating chiral fermions on the lattice
• Absence of neutrinos on a lattice
• Chiral fermions and anomalies on a finite lattice
• Infinitely many regulator fields for chiral fermions
• Absence of neutrinos on a lattice
• Chiral fermions from lattice boundaries
• Axial-Vector Vertex in Spinor Electrodynamics

Cited by

• Thermodynamics of the ideal overlap quarks on the lattice
• Topological susceptibility in full QCD with Ginsparg–Wilson fermions
• Hadronic electromagnetic properties at finite lattice spacing
• Chiral symmetry restoration in the Schwinger model with domain wall fermions
• Lattice chirality and the decoupling of mirror fermions
• Chiral lattice gauge theories and the strong coupling dynamics of a Yukawa-Higgs model with Ginsparg-Wilson fermions
• Weak-coupling expansion of a chiral gauge theory on a lattice in the overlap formulation
• Topological susceptibility from the overlap