Chiral fermions and anomalies on a finite lattice

1992/06/10 by Karl Jansen · 6 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #High-Energy Particle Collisions Research #Quantum Chromodynamics and Particle Interactions #hep-lat #hep-ph

paper · pdf · doi:10.1016/0370-2693(92)91113-n

published as Phys.Lett. B288 (1992) 348-354 · UCSD/PTH 92-18

arxiv created 1992/06/10 · openalex publication_date 1992/08/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/29

Abstract

A recent proposal by Kaplan for a chiral gauge theory on the lattice is tested with background gauge fields. The spectrum of the finite lattice Hamiltonian is calculated and the existence of a chiral fermion is demonstrated. Lattice doublers are found to decouple. The flavor anomalies, which are in agreement with the continuum anomaly relation, are obeserved on a finite lattice. Non-trivial anomaly cancellation is observed in a chiral gauge current.

Citations

• Axial-Vector Vertex in Spinor Electrodynamics

Cited by

• Axial symmetries in lattice QCD with Kaplan fermions
• Chiral fermions from lattice boundaries
• A method for simulating chiral fermions on the lattice
• Chiral fermions on the lattice
• Chiral gauge theories and fermion-Higgs systems
• Weak-coupling expansion of a chiral gauge theory on a lattice in the overlap formulation