Eigenvalue density of the non-Hermitian Wilson Dirac operator.
Eigenvalue density of the non-Hermitian Wilson Dirac operator.
复制标题
非厄米特威尔逊狄拉克算子的特征值密度。
DOI：
10.1103/physrevlett.108.022001
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发表时间：
2011
影响因子：
8.6
通讯作者：
S. Zafeiropoulos
中科院分区：
文献类型：
--
作者：
M. Kieburg;J. Verbaarschot;S. Zafeiropoulos
我们发现了非厄米威尔逊狄拉克算子在λ域的特征值密度与晶格间距的关系。出发点是相应随机矩阵理论的联合概率密度。除了复特征值的密度外，我们还分别得到了正手性和负手性实特征值的密度以及附加实模数的显式解析表达式。
We find the lattice spacing dependence of the eigenvalue density of the non-Hermitian Wilson Dirac operator in the ϵ domain. The starting point is the joint probability density of the corresponding random matrix theory. In addition to the density of the complex eigenvalues we also obtain the density of the real eigenvalues separately for positive and negative chiralities as well as an explicit analytical expression for the number of additional real modes.