Unphysical poles and dispersion relations for Möbius domain-wall fermions in free field theory at finite $L_s$

Abstract

We find that the quark propagator constructed from the domain-wall fermion operator has $L_s-1$ extra poles as well as the pole that realizes the physical quark in the continuum limit. We show the energy-momentum dispersion relation for the physical and unphysical poles of Möbius domain-wall fermions in free field theory at finite $L_s$. The dependence of extra pole energies on the Möbius parameter $b-c$ and on the domain-wall height $M_5$ is investigated. Our result suggests that small values of $b-c$ set a large lower bound on the unphysical pole masses and the contribution of these poles could be suppressed well by calculating with small $b-c$.

24 pages, 8 figures

References in corpus (6)

• Light hadron spectroscopy using domain wall valence quarks on an Asqtad sea
• $K_L-K_S$ mass difference from lattice QCD
• Localization and chiral symmetry in 2+1 flavor domain wall QCD
• Decay Constants of Pseudoscalar $D$-mesons in Lattice QCD with Domain-Wall Fermion
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Cited by in corpus (2)

• Isospin-breaking corrections to light-meson leptonic decays from lattice simulations at physical quark masses
• Glueballs at Physical Pion Mass