Abstract
Covariant anomalies are studied in terms of the theory of secondary characteristic classes of the universal bundle of the Yang–Mills theory. A new set of descent equations is derived which contains the covariant current anomaly and the covariant Schwinger term. The counterterms relating consistent and covariant anomalies are determined. A geometrical realization of the Becchi–Rouet–Stora (BRS)/anti-BRS algebra is presented which is used to understand the relationship between covariant anomalies in different approaches.
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