Dispersion relation and unphysical poles of Möbius domain-wall fermions in free field theory at finite $L_s$

Abstract

We investigate the dispersion relation of Möbius domain-wall fermions in free field theory at finite $L_s$. We find that there are $L_s-1$ extra poles of Möbius domain-wall fermions in addition to the pole which realizes the physical mode in the continuum limit. The unphysical contribution of these extra poles could be significant when we introduce heavy quarks. We show in this report the fundamental properties of these unphysical poles and discuss the optimal choice of Möbius parameters to minimize their contribution to four-dimensional physics.

Comments: 8 pages, Proceedings of the 35th International Symposium on Lattice Field Theory (Lattice 2017)