Domain wall fermions and applications

Abstract

Domain wall fermions provide a complimentary alternative to traditional lattice fermion approaches. By introducing an extra dimension, the amount of chiral symmetry present in the lattice theory can be controlled in a linear way. This results in improved chiral properties as well as robust topological zero modes. A brief introduction on the subject and a discussion of chiral properties and applications, such as zero and finite temperature QCD, N = 1 super Yang-Mills, and four-fermion theories, is presented.

Contribution to Lattice 2000 (Plenary), LaTeX, 12 pages, 15 eps figures

References in corpus (11)

• Lattice QCD with the Overlap-Dirac Operator: Its $\Lambda$ Parameter, and One-Loop Renormalization of Fermionic Currents
• One-loop renormalization of fermionic currents with the overlap-Dirac operator
• Chiral fermions on the lattice
• New approximate solutions of the Ginsparg-Wilson equation - tests in 2-d
• The finite temperature QCD phase transition with domain wall fermions
• QCD hadron spectrum with domain wall fermions
• Two dimensional lattice Gross--Neveu model with domain-wall fermions
• Considerations on Neuberger's operator
• Non-Perturbative Renormalisation using Domain Wall Fermions
• Simulation of QCD and other similar theories
• Dynamical lattice QCD thermodynamics with domain wall fermions

Cited by in corpus (17)

• Gluon propagators and quark confinement
• A Lattice Study of the Nucleon Excited States with Domain Wall Fermions
• Domain wall fermions with improved gauge actions
• The strong running coupling from the gauge sector of Domain Wall lattice QCD with physical quark masses
• Gluon propagator and three-gluon vertex with dynamical quarks
• Super Yang-Mills on the lattice with domain wall fermions
• Calculation of Non-Leptonic Kaon Decay Amplitudes from $K\to \pi$ Matrix Elements in Quenched Domain-Wall QCD
• Gap Domain Wall Fermions
• Predictions and recent results in susy on the lattice
• Lattice QCD at the end of 2003
• Chiral measurements with the Fixed-Point Dirac operator and construction of chiral currents
• Comparing lattice Dirac operators in smooth instanton backgrounds
• Topology and Low Lying Fermion Modes
• Reducing Residual-Mass Effects for Domain-Wall Fermions
• Gauging or extending bulk and boundary conformal field theories: Application to bulk and domain wall problem in topological matter and their descriptions by (mock) modular covariant
• Unquenched domain wall quarks with multi-bosons
• The staggered domain wall fermion method