Domain-Wall Fermion with $R_5$ Symmetry

Abstract

We present the domain-wall fermion operator which is reflection symmetric in the fifth dimension, with the approximate sign function $S(H)$ of the effective 4-dimensional Dirac operator satisfying the bound $|1-S(\lambda )|\le 2d_Z$ for ${\lambda }^2\in [{\lambda }_{min}^2,{\lambda }_{max}^2]$, where $d_Z$ is the maximum deviation $|1-\sqrt{x}{R}_Z(x){|}_{\max }$ of the Zolotarev optimal rational polynomial $R_Z(x)$ of $1/\sqrt{x}$ for $x\in [1,{\lambda }_{max}^2/{\lambda }_{min}^2]$, with degrees $(n-1,n)$ for $N_s=2n$, and $(n,n)$ for $N_s=2n+1$.

This work is dedicated to late Professor James S. Ball

References in corpus (4)

• Decay Constants of Pseudoscalar $D$-mesons in Lattice QCD with Domain-Wall Fermion
• Exact Pseudofermion Action for Monte Carlo Simulation of Domain-Wall Fermion
• Chiral Symmetry and the Residual Mass in Lattice QCD with the Optimal Domain-Wall Fermion
• Simulating an arbitrary number of flavors of dynamical overlap fermions

Cited by in corpus (12)

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• Symmetries of meson correlators in high temperature QCD with physical $(u/d,s,c)$ domain-wall quarks
• Topological susceptibility in finite temperature QCD with physical $(u/d,s,c)$ domain-wall quarks
• Spectral properties and chiral symmetry violations of (staggered) domain wall fermions in the Schwinger model
• 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
• Beyond the Standard Model: Charting Fundamental Interactions via Lattice Simulations
• Symmetries in high-temperature lattice QCD with (u, d, s, c, b) optimal domain-wall quarks
• New $N_f=2$ Pseudofermion Action for Monte-Carlo Simulation of Lattice Field Theory with Domain-Wall Fermions
• Mass Spectra of $D_s$ and ${\Omega }_c$ in Lattice QCD with $N_f=2+1+1$ Domain-Wall Quarks
• Construction of lattice Möbius domain wall fermions in the Schrödinger functional scheme