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Analyticity Properties of Graham-Witten Anomalies

High Energy Physics - Theory 2009-11-13 v2

Abstract

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

Keywords

Cite

@article{arxiv.0801.1469,
  title  = {Analyticity Properties of Graham-Witten Anomalies},
  author = {Vadim Asnin},
  journal= {arXiv preprint arXiv:0801.1469},
  year   = {2009}
}

Comments

2 typos corrected

R2 v1 2026-06-21T10:01:23.798Z