论文标题
单极和激体对标量密度的连接和断开相关性的影响
Monopole and instanton effects on connected and disconnected correlations for scalar density
论文作者
论文摘要
这项研究调查了对QCD真空中创建的单极和激体诱导的标量密度相关和断开相关性的影响。为了揭示效果，我们在\ textIt {su}（3）中的量规场配置中添加了一个单极和抗单向词对，通过将单极创建算子应用于真空中。我们改变了单极和抗单键孔的磁电荷，并增加了构型中的单孔和抗单键杆的数量。重叠费米子的狄拉克操作员保留了晶格量规理论中的精确手性对称性，而精确的零模式存在于其光谱中。已经使用这些配置计算了重叠狄拉克运算符的特征值和特征向量，并且通过这些其他单脚骨产生的Instantons和抗内斯坦顿的数量已从我们先前研究的拓扑费用数量中估算出来。在这项研究中，我们证明了初步结果是，激体和单孔会影响从重叠越野越过的ditaac操作员的低洼特征值和低洼特征值和量表密度的相关和断开相关函数评估的质量。
This study investigates the effects on the connected and disconnected correlations for the scalar density that are induced by created monopoles and instantons in the QCD vacuum. To reveal the effects, we add a monopole and anti-monopole pair in the gauge field configurations in \textit{SU}(3) by applying the monopole creation operator to the vacuum. We vary the magnetic charges of the monopole and anti-monopole and increase the number of monopoles and anti-monopoles in the configurations. The Dirac operator of overlap fermions preserves the exact chiral symmetry in lattice gauge theory and exact zero-modes exist in its spectrum. The eigenvalues and eigenvectors of the overlap Dirac operator have been calculated using these configurations, and the numbers of instantons and anti-instantons which are created by these additional monopoles and anti-monopoles have been estimated from the numbers of topological charges in our previous studies. In this study, we demonstrate the preliminary results that instantons and monopoles influence the masses that are evaluated from the connected and disconnected correlation functions for the scalar density using low-lying eigenvalues and eigenvectors of the overlap Dirac operator.
