2002/05/31 by Joakim Arnlind, Jouko Mickelsson
Physics and Astronomy · Mathematics · #hep-th #math.DG
published as Lett.Math.Phys. 62 (2002) 101-110 · clarifications and improvements in the text, added references; results unchanged
arxiv created 2002/09/04 · arxiv updated 2009/11/30
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.