Axial symmetries in lattice QCD with Kaplan fermions

1994/05/31 by Vadim Furman, Yigal Shamir · 17 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-lat

paper · pdf · doi:10.1016/0550-3213(95)00031-m

published as Nucl.Phys. B439 (1995) 54-78 · LaTeX, 29 pp

arxiv created 1994/11/23 · openalex publication_date 1995/04/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper develops in detail a lattice definition of QCD based on the chiral defect fermions recently introduced by Kaplan. The revised version provides missing technical details in the proof that non-singlet axial symmetries become exact in the limit of an infinite fifth dimension. Also several minor errors are corrected.

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
• Hamiltonian formulation of Wilson's lattice gauge theories
• Axial-Vector Vertex in Spinor Electrodynamics

Cited by

• An introduction to chiral symmetry on the lattice
• Scaling and eigenmode tests of the improved fat clover action
• Mixed meson masses with domain-wall valence and staggered sea fermions
• Lattice test of1/Ncbaryon mass relations
• Sparameter in QCD from domain wall fermions
• Topological susceptibility with the improved Asqtad action
• θvacuum effects on chiral condensation and theη′meson correlators in two-flavor massiveQED2on the lattice
• Chiral symmetry restoration in the Schwinger model with domain wall fermions
• Perturbative renormalization factors of quark bilinear operators for domain-wall QCD
• Lattice Fermions Based on Higher-Dimensional Hyperdiamond Lattices
• Bottomonium spectrum from lattice QCD with2+1flavors of domain wall fermions
• Two-flavor QCD simulation with exact chiral symmetry
• Calculation of the strange quark mass using domain wall fermions
• Perturbative renormalization factors of three- and four-quark operators for domain-wall QCD
• Lattice QCD with two dynamical flavors of domain wall fermions
• Aoki phases in the lattice Gross-Neveu model with flavored mass terms
• Meron-cluster solution of fermion and other sign problems