Dirac operators coupled to vector potentials |
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Authors: | Atiyah M F Singer I M |
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Affiliation: | Mathematical Institute, University of Oxford, Oxford, England. |
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Abstract: | Characteristic classes for the index of the Dirac family [unk]A are computed in terms of differential forms on the orbit space of vector potentials under gauge transformations. They represent obstructions to the existence of a covariant Dirac propagator. The first obstruction is related to a chiral anomaly. |
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