Trace extensions, determinant bundles, and gauge group cocycles

Details Trace extensions, determinant bundles, and gauge group cocycles Trace extensions, determinant bundles, and gauge group cocycles

2002-05-14

arxiv.org/abs/hep-th/0205126v2

Lett.Math.Phys. 62 (2002) 101-110

Physics

High Energy Physics

High Energy Physics - Theory

clarifications and improvements in the text, added references; results unchanged

Scientific paper

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.

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