有限$L_s$下自由场论中莫比乌斯畴壁费米子的非物理极点和色散关系
Unphysical poles and dispersion relations for Möbius domain-wall fermions in free field theory at finite $L_s$
摘要：
我们发现由畴壁费米子算符构造的夸克传播子除了在连续极限实现物理夸克的极点外，还具有$L_s-1$额外极点。本文给出了有限$L_s$下自由场论中莫比乌斯畴壁费米子的物理和非物理极点的能量-动量色散关系。研究了额外磁极能量与莫比乌斯参数$b-c$和畴壁高度$M_5$的关系。我们的结果表明，小的$b-c$值设置了一个大的下限的非物理极点质量和这些极点的贡献可以很好地抑制计算与小的$b-c$。
英文摘要：
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 $b-c$.
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