Analyticity Properties of Graham-Witten Anomalies

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...

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Bibliographic Details
Published in:arXiv.org 2008-07
Main Author: Asnin, Vadim
Format: Article
Language:English
Subjects:
Anomalies
Correlators
Manifolds (mathematics)
Mathematical analysis
Properties (attributes)
Singularities
Tensors
Online Access:Get full text
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Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.0801.1469