Mathematical remarks on the cohomology of gauge groups and anomalies

Details Mathematical remarks on the cohomology of gauge groups and anomalies Mathematical remarks on the cohomology of gauge groups and anomalies

1994-08-26

arxiv.org/abs/hep-th/9408141v1

Physics

High Energy Physics

High Energy Physics - Theory

13 pp. (Revised version corrected some lines longer than 80 columns - content is unchanged.)

Scientific paper

Anomalies can be viewed as arising from the cohomology of the Lie algebra of the group of gauge transformations and also from the topological cohomology of the group of connections modulo gauge transformations. We show how these two approaches are unified by the transgression map. We discuss the geometry behind the current commutator anomaly and the Faddeev- Mickelsson anomaly using the recent notion of a gerbe. Some anomalies (notably 3-cocycles) do not have such a geometric origin. We discuss one example and a conjecture on how these may be related to geometric anomalies.

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