Abstract
We find that the quark propagator constructed from the domain-wall fermion operator has 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 . The dependence of extra pole energies on the Möbius parameter and on the domain-wall height is investigated. Our result suggests that small values of set a large lower bound on the unphysical pole masses and the contribution of these poles could be suppressed well by calculating with small .
1 More- Received 14 July 2017
DOI:https://doi.org/10.1103/PhysRevD.96.074504
© 2017 American Physical Society