Analysis of anomalies in higher spacetime dimensions
Abstract
The anomaly for a dimension D=2n gauge theory is calculated for arbitrary n>=2 from the lagon Feynman diagram with l=(n+1). The result is both finite and unique despite the nonrenormalizability of the theory. The contributions of higher polygons to the anomaly are deduced from gauge invariance and Lorentz invariance. The noanomaly condition in D=2n is the vanishing of a symmetrized trace over l generators written in the fermion representation. It is shown how to compute this trace for totally antisymmetric representations of SU(N).
 Publication:

Physical Review D
 Pub Date:
 August 1983
 DOI:
 10.1103/PhysRevD.28.1010
 Bibcode:
 1983PhRvD..28.1010F