New Domain-Wall Fermion Actions

Abstract

In perturbation theory, the wave function of domain-wall quarks decreases exponentially with the fifth coordinate. We show that, regardless of the quark's own momentum, the fall-off rate of the one-loop wave function is equal to the slowest rate encountered at tree-level for any lattice four-momentum. We propose new domain-wall actions involving beyond-nearest neighbor couplings in the four physical dimensions, for which the perturbative wave function decreases much faster. It is hoped that the new actions may preserve the good chiral properties of domain-wall fermions up to larger values of the lattice spacing.

latex, epsf, 25 pages

References in corpus (8)

• QCD hadron spectrum with domain wall fermions
• Quenched QCD with domain-wall fermions on coarse lattices
• Hamiltonian domain wall fermions at strong coupling
• How well do domain wall fermions realize chiral symmetry?
• Fermion-scalar interactions with domain wall fermions
• Non-Perturbative Renormalisation using Domain Wall Fermions
• Lattice QCD with Domain-Wall Fermions
• High temperature meson propagators with domain-wall quarks

Cited by in corpus (19)

• A Lattice Study of the Nucleon Excited States with Domain Wall Fermions
• Domain wall fermions with improved gauge actions
• Localization in Lattice QCD
• Super Yang-Mills on the lattice with domain wall fermions
• Lattice super-Yang-Mills using domain wall fermions in the chiral limit
• Localization properties of lattice fermions with plaquette and improved gauge actions
• Perturbative Renormalization of Weak-Hamiltonian Four-Fermion Operators with Overlap Fermions
• Convergence Rate and Locality of Improved Overlap Fermions
• Chirality Correlation within Dirac Eigenvectors from Domain Wall Fermions
• The Möbius Domain Wall Fermion Algorithm
• Before sailing on a domain-wall sea
• Multigrid for Chiral Lattice Fermions: Domain Wall
• Perturbative renormalization of the first moment of structure functions for domain-wall QCD
• Chiral properties of domain-wall fermions from eigenvalues of 4 dimensional Wilson-Dirac operator
• The Tunneling Hybrid Monte-Carlo algorithm
• Reducing Residual-Mass Effects for Domain-Wall Fermions
• Chern insulator transitions with Wilson fermions on a hyperrectangular lattice
• Chiral violations in domain-wall QCD from one-loop perturbation theory at finite $N_s$
• Unquenched domain wall quarks with multi-bosons