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Journal Article

Dirac Operators Coupled to Vector Potentials

M. F. Atiyah and I. M. Singer
Proceedings of the National Academy of Sciences of the United States of America
Vol. 81, No. 8, [Part 2: Physical Sciences] (Apr. 15, 1984), pp. 2597-2600
Stable URL: http://www.jstor.org/stable/23378
Page Count: 4
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Dirac Operators Coupled to Vector Potentials
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Abstract

Characteristic classes for the index of the Dirac family [Note: See the image of page 2597 for this formatted text] ∂ 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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