论文标题
Dirac，Majorana，Weyl 4D
Dirac, Majorana, Weyl in 4d
论文作者
论文摘要
这是对4D中狄拉克，Weyl和Majorana旋转器的某些基本特性的评论。我们特别关注的是，一侧是无质量的狄拉克和主要毛茸茸的费米斯之间的差异。我们详细回顾了其有效动作的定义，当耦合到（向量和轴向）仪表字段，并使用具有不同正则化的Feynman图方法重新访问相应的异常。在各种众所周知的结果中，我们特别强调了扰动方法中的正则独立性，而并非所有正规化都符合非扰动。至于异常，我们特别强调了一个可能不是那么知名的特征：手性和痕量异常之间的刚性关系。
This is a review of some elementary properties of Dirac, Weyl and Majorana spinors in 4d. We focus in particular on the differences between massless Dirac and Majorana fermions, on one side, and Weyl fermions, on the other. We review in detail the definition of their effective actions, when coupled to (vector and axial) gauge fields, and revisit the corresponding anomalies using the Feynman diagram method with different regularizations. Among various well known results we stress in particular the regularization independence in perturbative approaches, while not all the regularizations fit the non-perturbative ones. As for anomalies, we highlight in particular one perhaps not so well known feature: the rigid relation between chiral and trace anomalies.
