%0 Journal Article
%T Trace extensions, determinant bundles, and gauge group cocycles
%A Joakim Arnlind
%A Jouko Mickelsson
%J Mathematics
%D 2002
%I arXiv
%X We study the geometry of determinant line bundles associated to Dirac operators on compact odd dimensional manifolds. Physically, these arise as (local) vacuum line bundles in quantum gauge theory. We give a simplified derivation of the commutator anomaly formula using a construction based on noncyclic trace extensions and associated multiplicative renormalized determinants.
%U http://arxiv.org/abs/hep-th/0205126v2