Anomaly-Free Sets of Fermions
Anomaly-Free Sets of Fermions
复制标题
无异常费米子集
DOI：
10.1063/1.2222081
复制
发表时间：
2005
影响因子：
1.3
通讯作者：
D. Spivak
中科院分区：
文献类型：
--
作者：
P. Batra;B. Dobrescu;D. Spivak
我们提出了寻找费米子的反常自由集的新技术。虽然异常取消条件通常包括三次方程的整数变量，不能在一般情况下解决，我们证明了建设，任何手性费米子集可以嵌入在一个更大的一组费米子是手性和anomaly-free。将这些技术应用于标准模型的扩展，我们发现在一个额外的U（1）规范群下具有任意夸克和轻子荷的无异常模型。
We present new techniques for finding anomaly-free sets of fermions. Although the anomaly cancellation conditions typically include cubic equations with integer variables that cannot be solved in general, we prove by construction that any chiral set of fermions can be embedded in a larger set of fermions which is chiral and anomaly-free. Applying these techniques to extensions of the standard model, we find anomaly-free models that have arbitrary quark and lepton charges under an additional U(1) gauge group.