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arXiv · 0801.1469

Analyticity Properties of Graham-Witten Anomalies

Vadim Asnin
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Abstract

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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Vadim Asnin. 2008-07-03. Analyticity Properties of Graham-Witten Anomalies. https://doi.org/10.1088/0264-9381%2F25%2F14%2F145013

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