Trace Extensions,Determinant Bundles,and Gauge Group Cocycles |
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Authors: | Arnlind Joakim Mickelsson Jouko |
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Institution: | (1) Mathematical Physics, Royal Institute of Technology, SE-106 91 Stockholm, Sweden |
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Abstract: | We study the geometry of determinant line bundles associated with 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 nonmultiplicative renormalized determinants. |
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Keywords: | multiplicative anomaly determinant bundles gauge group cocycles |
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