Chiral anomalies, higher dimensions, and differential geometry
Abstract
We determine the abelian and nonabelian chiral anomalies in 2 ndimensional spacetime by a differential geometric method which enables us to obtain the anomalies without having to calculate Feynman diagrams, as has been done by Frampton and Kephart. The advantage of this method is that the construction automatically satisfies the WessZumino consistency condition, a condition which has direct physical interpretation. We hope that our analysis sheds light on the mathematical structure associated with chiral anomalies. The mathematical analysis is selfcontained and a brief review of differential forms and other mathematical tools is included.
 Publication:

Nuclear Physics B
 Pub Date:
 July 1984
 DOI:
 10.1016/05503213(84)902591
 Bibcode:
 1984NuPhB.239..477Z