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The index of scattering operators of Dirac equations

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Abstract

A new index formula of Atiyah Singer type for scattering operators is proved. The index corresponds to the vacuum polarization of the Fermion (on the Minkowski space) coupled to an external non abelian gauge field.

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Authors and Affiliations

  1. Research Institute for Mathematical Sciences, Kyoto University, 606, Kyoto, Japan

    Taku Matsui

  2. Department of Mathematics, Faculty of Sciences, Tokyo Metropolitan University, Setagaya-ku, 158, Tokyo, Japan

    Taku Matsui

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  1. Taku Matsui
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Communicated by H. Araki

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Matsui, T. The index of scattering operators of Dirac equations. Commun.Math. Phys. 110, 553–571 (1987). https://doi.org/10.1007/BF01205548

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  • DOI: https://doi.org/10.1007/BF01205548

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