Domain-Wall Fermion with $R_5$ Symmetry

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 $|1-S(λ)| \le 2 d_Z$ for $λ^2 \in [λ_{min}^2, λ_{max}^2]$, where $d_Z$ is the maximum deviation $| 1- \sqrt{x} R_Z(x) |_{\rm max}$ of the Zolotarev optimal rational polynomial $R_Z(x)$ of $1/\sqrt{x}$ for $x \in [1, λ_{max}^2/λ_{min}^2]$, with degrees $(n-1,n)$ for $N_s = 2n$, and $(n,n)$ for $N_s = 2 n + 1$.

No reviews yet.

No comments yet.