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.

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

References in corpus (1)

• Localization and chiral symmetry in 2+1 flavor domain wall QCD

Cited by in corpus (7)

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• Lattice QCD with $N_f=2+1+1$ domain-wall quarks
• 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
• 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