Trace extensions, determinant bundles, and gauge group cocycles
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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.
clarifications and improvements in the text, added references; results unchanged
clarifications and improvements in the text, added references; results unchanged