Analyticity Properties of Graham-Witten Anomalies

Details Analyticity Properties of Graham-Witten Anomalies Analyticity Properties of Graham-Witten Anomalies

2008-01-09

arxiv.org/abs/0801.1469v2

Class. Quantum Grav. 25 (2008) 145013

Physics

High Energy Physics

High Energy Physics - Theory

2 typos corrected

Scientific paper

10.1088/0264-9381/25/14/145013

Analytic properties of Graham-Witten anomalies are considered. Weyl anomalies according to their analytic properties are of type A (coming from $\delta$-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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