论文标题
有效田间理论中仪表异常取消的注释
A Note on Gauge Anomaly Cancellation in Effective Field Theories
论文作者
论文摘要
有效野外理论(EFT)中缺乏量规异常的条件是依据的。 BRST操作员的共同体的一般结果并不能阻止当规格组不是半模型(在标准模型EFT(SMEFT)中),而不是不可降低的部门引起的潜在异常。通过考虑一个模仿SMEFT属性的简单显式模型,我们计算正规理论中的异常,包括一组完整的维度六算子。我们表明,可以通过向理论添加局部反术语来消除异常对非十个不可分割部分的依赖性。结果,仪表异常取消的条件完全由费米昂的电荷分配完全控制,如可重新分布的理论中。
The conditions for the absence of gauge anomalies in effective field theories (EFT) are rivisited. General results from the cohomology of the BRST operator do not prevent potential anomalies arising from the non-renormalizable sector, when the gauge group is not semi-simple, like in the Standard Model EFT (SMEFT). By considering a simple explicit model that mimics the SMEFT properties, we compute the anomaly in the regularized theory, including a complete set of dimension six operators. We show that the dependence of the anomaly on the non-renormalizable part can be removed by adding a local counterterm to the theory. As a result the condition for gauge anomaly cancellation is completely controlled by the charge assignment of the fermion sector, as in the renormalizable theory.