Construction of lattice Moebius domain wall fermions in the Schroedinger functional scheme
Construction of lattice Moebius domain wall fermions in the Schroedinger functional scheme
复制标题
薛定谔泛函格式中晶格莫比斯畴壁费米子的构建
DOI：
10.1142/s0217751x18500124
复制
发表时间：
2018
影响因子：
1.6
通讯作者：
Ishikawa Ken-Ichi
中科院分区：
文献类型：
--
作者：
Murakami Yuko;Ishikawa Ken-Ichi
在本文中，我们通过在 SF 方案设置的时间边界添加边界算子，在 SU(3) 规范理论的薛定谔泛函 (SF) 方案中构造莫比乌斯畴壁费米子 (MDWF)。利用微扰理论，我们研究了几种构造的 MDWF 的特性，包括最佳类型畴壁、重叠、截断畴壁和截断重叠费米子。我们观察了树级有效四维算子谱的普适性，并且对于具有足够大的五维范围的 MDWF 再现了费米子对通用单环 beta 函数的贡献。
In this paper, we construct the Möbius domain wall fermions (MDWFs) in the Schrödinger functional (SF) scheme for the SU(3) gauge theory by adding a boundary operator at the temporal boundary of the SF scheme setup. Using perturbation theory, we investigate the properties of several constructed MDWFs, including the optimal type domain wall, overlap, truncated domain wall, and truncated overlap fermions. We observe the universality of the spectrum of the effective four-dimensional operator at the tree-level, and fermionic contribution to the universal one-loop beta function is reproduced for MDWFs with a sufficiently large fifth-dimensional extent.