Chiral fermions from lattice boundaries

1993/03/10 by Yigal Shamir · 25 citations
Physics and Astronomy · #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #Quantum, superfluid, helium dynamics #hep-lat #hep-ph

paper · pdf · doi:10.1016/0550-3213(93)90162-i

published as Nucl.Phys. B406 (1993) 90-106 · 19 pages, LATEX, WIS-93/20/FEB-PH

arxiv created 1993/03/10 · openalex publication_date 1993/09/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We construct a model in which four dimensional chiral fermions arise on the boundaries of a five dimensional lattice with free boundary conditions in the fifth direction. The physical content is similar to Kaplan's model of domain wall fermions, yet the present construction has several technical advantages. We discuss some aspects of perturbation theory, as well as possible applications of the model both for lattice QCD and for the on-going attempts to construct a lattice chiral gauge theory.

Citations

• A method for simulating chiral fermions on the lattice
• Absence of neutrinos on a lattice
• Absence of chiral fermions in the Eichten-Preskill model
• Dynamical Model of Elementary Particles Based on an Analogy with Superconductivity. I
• Conformal symmetry and universal properties of quantum Hall states
• Chiral fermions and anomalies on a finite lattice
• Infinitely many regulator fields for chiral fermions
• Absence of neutrinos on a lattice

Cited by

• An introduction to chiral symmetry on the lattice
• Scaling and eigenmode tests of the improved fat clover action
• Staggered versus overlap fermions: A study in the Schwinger model withNf=0,1,2
• Mixed meson masses with domain-wall valence and staggered sea fermions
• Lattice test of1/Ncbaryon mass relations
• Weyl fermions on the lattice and the non-abelian gauge anomaly
• Chiral fermions on the lattice
• Sparameter in QCD from domain wall fermions
• Phenomenology from lattice QCD
• Topological susceptibility with the improved Asqtad action
• θvacuum effects on chiral condensation and theη′meson correlators in two-flavor massiveQED2on the lattice
• Consistent non-commutative quantum gauge theories?
• Chiral symmetry restoration in the Schwinger model with domain wall fermions
• Perturbative renormalization factors of quark bilinear operators for domain-wall QCD
• Ginsparg-Wilson fermions: A study in the Schwinger model
• Bottomonium spectrum from lattice QCD with2+1flavors of domain wall fermions
• Lattice QCD inputs to the CKM unitarity triangle analysis
• 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
• Möbius Fermions: Improved Domain Wall Chiral Fermions
• Weak-coupling expansion of a chiral gauge theory on a lattice in the overlap formulation
• Lattice QCD with two dynamical flavors of domain wall fermions
• Matrix model and Ginsparg-Wilson relation
• Domain wall fermion [wikipedia]