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 -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.
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