Mathematical remarks on the cohomology of gauge groups and anomalies
Abstract
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 3cocycles) do not have such a geometric origin. We discuss one example and a conjecture on how these may be related to geometric anomalies.
 Publication:

arXiv eprints
 Pub Date:
 August 1994
 arXiv:
 arXiv:hepth/9408141
 Bibcode:
 1994hep.th....8141C
 Keywords:

 High Energy Physics  Theory
 EPrint:
 13 pp. (Revised version corrected some lines longer than 80 columns  content is unchanged.)