有限$L_s$下自由场论中莫比乌斯畴壁费米子的色散关系和非物理极点
Dispersion relation and unphysical poles of Möbius domain-wall fermions in free field theory at finite $L_s$
摘要：
研究了有限$L_s$下自由场论中莫比乌斯畴壁费米子的色散关系。我们发现，除了实现连续极限物理模的极点外，莫比乌斯畴壁费米子还存在$L_s-1$额外极点。当我们引入重夸克时，这些额外磁极的非物理贡献可能是重要的。我们在这份报告中显示这些非物理极点的基本属性，并讨论莫比乌斯参数的最佳选择，以尽量减少其对四维物理的贡献。
英文摘要：
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.
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