引力背景场中的规范反常

GAUGE ANOMALY IN GRAVITATIONAL BACKGROUND

本文考虑引力背景场中,包含矢量和轴矢量耦合的拉氏量的反常性质,计算出反常项的具体形式A(x)。所得普遍结果在特殊情况下给出通常的爱因斯坦引力反常和规范反常。本文用新的减除方式得到反常的最小形式,而不用引入拉氏量抵消项。A(x)还给出不同于通常Bardeen手征反常的新的特性。

In gravitational background, we investigate anomaly in a theory of fermions coupled to vector and axial-vector sources by using path-integral formulation. The form of anomaly A(x) is derived by the tedious calculation. The Einstein gravitational anomaly and gauge anomaly can be obtained from special cases of the general results. We eliminate non-minimum form of anomaly without introducing Lagrangian counterterms. A(x) have a new feature that is different from the usual chiral anomalies.