论文标题
取消标量异常揭示了叶子和夸克的量子性手性su(2/1)模型的隐藏超级结构
Scalar anomaly cancellation reveals the hidden superalgebraic structure of the quantum chiral SU(2/1) model of leptons and quarks
论文作者
论文摘要
在经典级别,SU(2/1)超级巨头对基本粒子提供了自然描述:通过手性划分的叶子和夸克无质量状态,适合SU(2/1)的最小不可减至的表示。我们的新主张是将左/右时时间手性与超级手性配对,并在一环量子水平上研究模型。如果尽管它们是非热者,但我们使用su(2/1)的奇数矩阵将面向的复杂希格斯标量场与手性效率相结合,则会发生新的异常。它们会影响标量传播器和顶点。但是,这些不希望的新术语与Adler-Bell-Jackiw矢量异常一起取消,因为夸克会补偿瘦素。意想不到的结果是,必须使用反对称超级杀伤度量标准将标量传播器进行标准化,并且标量矢量顶点必须使用超级级别的对称D_AIJ结构常数。尽管存在这种非凡的结构,但由此产生的拉格朗日人实际上是隐士。
At the classical level, the SU(2/1) superalgebra offers a natural description of the elementary particles: leptons and quarks massless states, graded by their chirality, fit the smallest irreducible representations of SU(2/1). Our new proposition is to pair the left/right space-time chirality with the superalgebra chirality and to study the model at the one-loop quantum level. If, despite the fact that they are non-Hermitian, we use the odd matrices of SU(2/1) to minimally couple an oriented complex Higgs scalar field to the chiral Fermions, novel anomalies occur. They affect the scalar propagators and vertices. However, these undesired new terms cancel out, together with the Adler-Bell-Jackiw vector anomalies, because the quarks compensate the leptons. The unexpected and striking consequence is that the scalar propagator must be normalized using the antisymmetric super-Killing metric and the scalar-vector vertex must use the symmetric d_aij structure constants of the superalgebra. Despite this extraordinary structure, the resulting Lagrangian is actually Hermitian.