论文标题
在两个时空维度中的最小加倍费米子的拓扑特性
Topological properties of minimally doubled fermions in two space-time dimensions
论文作者
论文摘要
二维Schwinger模型用于探索晶格费米昂操作员如何感知给定背景量规字段的\ Mathbb {z} $中的全局拓扑费$ q \。我们专注于Karsten-Wilczek和Borici-Creutz Fermions，它们的翻倍数量翻了一番，并将其与Wilson，Brillouin，Naive，Smanded和Adams Fermions进行比较。对于每个操作员，确定了$ Q \ neq 0 $的背景中的特征值频谱，并与特征模式的手势一起确定，并制定了相关的Hermitean操作员的频谱流。我们发现，Karsten-Wilczek和Borici-Creutz Fermions以与交错而幼稚的费米子一样，认为全球拓扑费$ Q $。
The two-dimensional Schwinger model is used to explore how lattice fermion operators perceive the global topological charge $q \in \mathbb{Z}$ of a given background gauge field. We focus on Karsten-Wilczek and Borici-Creutz fermions, which are minimally doubled, and compare them to Wilson, Brillouin, naive, staggered and Adams fermions. For each operator the eigenvalue spectrum in a background with $q \neq 0$ is determined along with the chiralities of the eigenmodes, and the spectral flow of the pertinent hermitean operator is worked out. We find that Karsten-Wilczek and Borici-Creutz fermions perceive the global topological charge $q$ in the same way as staggered and naive fermions do.
