格点莫比乌斯畴壁费米子的薛定谔泛函构造
Construction of lattice Möbius domain wall fermions in the Schrödinger functional scheme
摘要：
本文在SU（3）规范理论的薛定谔泛函（SF）格式中，通过在SF格式的时间边界上加入边界算符，构造了Möbius畴壁费米子（MDWF），并利用微扰理论研究了MDWF的性质.我们研究的MDWF包括最佳型畴壁、重叠型畴壁、截断型畴壁和截断型重叠型费米子。我们观察到的普遍性的频谱的有效四维运营商在树的水平。的费米贡献的通用单圈β函数再现MDWFs具有足够大的第五维范围。
英文摘要：
In this paper we construct the Möbius domain wall fermions (MDWF) 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 and investigate the property using the perturbation theory. The MDWFs we investigated include the optimal type domain wall, the overlap, the truncated domain wall, and the truncated overlap fermions. We observe the universality of the spectrum of the effective four-dimensional operator at the tree-level. The fermionic contribution to the universal one-loop beta function is reproduced for the MDWFs with a sufficiently large fifth dimensional extent.
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