Domain-Wall Fermion with R₅ Symmetry

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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(λ)| ≤ 2 dZ for λ² ∈ [λmin², λmax²], where dZ is the maximum deviation | 1- √x RZ(x) | max of the Zolotarev optimal rational polynomial RZ(x) of 1/√x for x ∈ [1, λmax²/λmin²], with degrees (n-1,n) for Nₛ = 2n, and (n,n) for Nₛ = 2 n + 1.