Optimal lattice domain-wall fermions

Abstract

I show that the conventional formulations of lattice domain-wall fermion with any finite N_s (in the fifth dimension) do not preserve the chiral symmetry optimally and propose a new action which preserves the chiral symmetry optimally for any finite N_s.

9 pages, latex, minor changes, to appear in Phys. Rev. Lett

References in corpus (2)

• A note on Zolotarev optimal rational approximation for the overlap Dirac operator
• Locality of optimal lattice domain-wall fermions

Cited by in corpus (46)

• Singly and Doubly Charmed J=1/2 Baryon Spectrum from Lattice QCD
• Mobius Fermions: Improved Domain Wall Chiral Fermions
• Beauty mesons in lattice QCD with exact chiral symmetry
• Light quark masses, chiral condensate and quark-gluon condensate in quenched lattice QCD with exact chiral symmetry
• Y(4260) on the lattice
• Baryon Masses in Lattice QCD with Exact Chiral Symmetry
• X(3872) in lattice QCD with exact chiral symmetry
• Moebius Fermions
• Pseudoscalar Decay Constants $f_D$ and $f_{D_s}$ in Lattice QCD with Exact Chiral Symmetry
• Numerical Methods for the QCD Overlap Operator:III. Nested Iterations
• Algorithms for Lattice QCD with Dynamical Fermions
• Numerical Methods for the QCD Overlap Operator IV: Hybrid Monte Carlo
• Decay Constants of Pseudoscalar $D$-mesons in Lattice QCD with Domain-Wall Fermion
• Topological Susceptibility in Two Flavors Lattice QCD with the Optimal Domain-Wall Fermion
• Study of $Thet{a}^{+}(udud\bar{s})$ in lattice QCD with exact chiral symmetry
• Exact Pseudofermion Action for Monte Carlo Simulation of Domain-Wall Fermion
• Lattice QCD with $N_f=2+1+1$ domain-wall quarks
• On the Critical Flavor Number in the 2+1$d$ Thirring Model
• Improved study of the $\beta$-function of $SU(3)$ gauge theory with $N_f=10$ massless domain-wall fermions
• Pseudoscalar Meson in Two Flavors QCD with the Optimal Domain-Wall Fermion
• Pseudovector meson with strangeness and closed-charm
• Chiral Symmetry and the Residual Mass in Lattice QCD with the Optimal Domain-Wall Fermion
• Recent Developments of Domain-wall/Overlap Fermions for Lattice QCD
• Symmetries of meson correlators in high temperature QCD with physical $(u/d,s,c)$ domain-wall quarks
• Multigrid for Chiral Lattice Fermions: Domain Wall
• Domain-Wall Fermion with $R_5$ Symmetry
• Topological susceptibility in finite temperature QCD with physical $(u/d,s,c)$ domain-wall quarks
• A note on Neuberger's double pass algorithm
• Spectral properties and chiral symmetry violations of (staggered) domain wall fermions in the Schwinger model
• Simulation of Lattice QCD with Domain-Wall Fermions
• Aspects of Domain-Wall Fermion on the Lattice
• Oscillatory behavior of the domain wall fermions revisited
• Beauty mesons in $N_f=2+1+1+1$ lattice QCD with exact chiral symmetry
• Symmetries of spatial correlators of light and heavy mesons in high temperature lattice QCD
• A lattice Dirac operator for QCD with light dynamical quarks
• The eigSUMR inverter for overlap fermion
• Symmetries in high-temperature lattice QCD with (u, d, s, c, b) optimal domain-wall quarks
• Unphysical poles and dispersion relations for Möbius domain-wall fermions in free field theory at finite $L_s$
• Evaluation of the Bilinear Condensate of the Planar Thirring Model in the Strongly Coupled Region
• New $N_f=2$ Pseudofermion Action for Monte-Carlo Simulation of Lattice Field Theory with Domain-Wall Fermions
• Construction of lattice Möbius domain wall fermions in the Schrödinger functional scheme
• Mass Spectra of $D_s$ and ${\Omega }_c$ in Lattice QCD with $N_f=2+1+1$ Domain-Wall Quarks
• Accelerating iterative linear equation solver using modified domain-wall fermion matrix in lattice QCD simulations
• New One-Flavor Hybrid Monte Carlo Simulation Method for Lattice Fermions with gamma-five Hermiticity
• Lattice fermion formulation via Physics-Informed Neural Networks: Ginsparg-Wilson relation and Overlap fermions
• Projection of the low-lying eigenmodes of the overlap Dirac operator in lattice QCD