A general class of infinite dimensional Dirac operators and path integral representation of their index (Q1188000)
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scientific article; zbMATH DE number 39929
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A general class of infinite dimensional Dirac operators and path integral representation of their index |
scientific article; zbMATH DE number 39929 |
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A general class of infinite dimensional Dirac operators and path integral representation of their index (English)
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3 August 1992
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A general class of infinite-dimensional Dirac operators is defined in an abstract Boson-Fermion Fock space and some of their properties are studied. A path integral representation of their index is established, giving a topologically invariant integer-valued functional on a space of functionals with values in a Hilbert space. It is shown that the supersymmetric quantum theories associated with the Dirac operators yield the Wess-Zumino models in supersymmetric quantum field theory.
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infinite-dimensional Dirac operators
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abstract Boson-Fermion Fock space
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Wess-Zumino models in supersymmetric quantum field theory
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