Chiral Symmetry and the Residual Mass in Lattice QCD with the Optimal Domain-Wall Fermion

Abstract

We derive the axial Ward identity for lattice QCD with domain-wall fermions, and from which we obtain a formula for the residual mass (45)-(46), that can be used to measure the chiral symmetry breaking due to the finite extension Ns in the fifth dimension. Furthermore, we obtain an upper bound for the residual mass in lattice QCD with the optimal domain-wall fermion.

arXiv comment27 pages, 3 figures, v3: new formula for the upper-bound of residual mass

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• Lattice QCD with $N_f=2+1+1$ domain-wall quarks
• Exact Pseudofermion Action for Monte Carlo Simulation of Domain-Wall Fermion
• Improved study of the $\beta$-function of $SU(3)$ gauge theory with $N_f=10$ massless domain-wall fermions
• Symmetries of meson correlators in high temperature QCD with physical $(u/d,s,c)$ domain-wall quarks
• Domain-Wall Fermion with $R_5$ Symmetry
• 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
• Simulation of Lattice QCD with Domain-Wall Fermions
• 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
• Symmetries in High-Temperature Lattice QCD with $(u,d,s,c,b)$ Optimal Domain-Wall Quarks