Graham-Witten反常的解析性质
Analyticity Properties of Graham-Witten Anomalies
摘要：
分析性质的Graham-Witten异常被认为是。外尔反常根据其解析性质分为A型（来自$δ$ --几个能量动量张量的交换子中的奇异性）或B型（来自热力学上依赖于质量尺度的反项）。所有的Graham-Witten异常都可以分为两类：内部异常和外部异常，外部异常都是B型异常，而内部异常中只有一项是A型异常，其余都是B型异常。这个论点是检查明确的情况下，一个自由的标量场在一个6维空间的2维子流形。
英文摘要：
Analytic properties of Graham-Witten anomalies are considered. Weyl anomalies according to their analytic properties are of type A (coming from $δ$-singularities in correlators of several energy-momentum tensors) or of type B (originating in counterterms which depend logarithmically on a mass scale). It is argued that all Graham-Witten anomalies can be divided into 2 groups: internal and external, and that all external anomalies are of type B, whereas among internal anomalies there is one term of type A and all the rest are of type B. This argument is checked explicitly for the case of a free scalar field in a 6-dimensional space with a 2-dimensional submanifold.
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