有限$L_s$畴壁费米子的非物理极点
Unphysical Poles of Domain Wall Fermions at finite $L_s$
摘要：
我们研究了在格点QCD模拟中，在不同参数下，由畴壁费米子构造的强子振荡子中观察到的振荡的起源和行为。这种在早期时间片的振荡行为阻碍了强子谱中激发态的提取。此外，偏离指数衰减可能会对在晶格上执行的费米子回路计算产生重大影响。我们提出了几个著名的实现的pronunciations的结果。通过对四维夸克传播子极点的分析，将Shamir作用量的研究扩展到包括Boriçi和Möbius作用量.对于每一个行动考虑，我们发现一个非物理模式时，分析极点结构的自由强子传播的$5^{\text{th}}$维度$L_s$有限的程度，我们表明，这种模式是负责观察到的强子传播的振荡行为。我们已经对这些结果进行了数值检验，发现振荡行为的存在对湍流参数$a_5$、$b_5$、$c_5$和DW高度$M$敏感。为了最大限度地减少振荡，我们的研究结果表明，应该选择$M a_5<1$的沙米尔和Boriçi的DWFs，和$M(b_5-c_5)<1$莫比乌斯的DWFs时，$M>1$。对于所考虑的每个计算，当与使用相同输入参数的Shamir和Möbius行为相比时，Borçi行为显示出最小的振荡幅度。
英文摘要：
We investigate the origin and behavior of oscillations observed in the hadron correlators constructed from the domain wall fermion (DWF) for different parameters involved in lattice QCD simulations. This oscillatory behavior at early time slices hinders the extraction of excited states in hadron spectroscopy. Furthermore, the deviation from exponential decay may have a significant impact on fermion loop calculations performed on the lattice. We present results for several well-known implementations of the DWF actions. We extend the study of Shamir DWF action to include Boriçi and Möbius DWF actions by analyzing the poles of 4D quark propagator. For each action considered, we find an unphysical mode when analyzing the pole structure of the free DWF propagator for a finite extent of the $5^{\text{th}}$ dimension $L_s$, and we show that this mode is responsible for the oscillatory behavior observed in hadron correlators. We have performed numerical checks on these results and have found that the presence of oscillatory behavior is sensitive to the DWF parameters $a_5$, $b_5$, $c_5$ and DW height $M$. To minimize oscillations, our results suggest that one should choose $M a_5<1$ for the Shamir and Boriçi DWFs, and $M(b_5-c_5)<1$ for Möbius DWF when $M>1$. For each calculation considered, the Borçi DWF displayed the smallest magnitude of oscillation when compared to the Shamir and Möbius DWF actions using the same input parameters.
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