Boson-fermion correspondence on the circle via quantum stochastic calculus (Q1586469)
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scientific article; zbMATH DE number 1529156
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Boson-fermion correspondence on the circle via quantum stochastic calculus |
scientific article; zbMATH DE number 1529156 |
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Boson-fermion correspondence on the circle via quantum stochastic calculus (English)
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2 July 2002
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The quantum stochastic differential formula \(dB=(-1)^\Lambda dA\), known to relate boson and fermion fields \(A\) and \(B\), respectively, on the Fock space over \(L^2(\mathbb{R}_+)\), is shown to hold in a modified form in a Fock space associated with the nontrivial complex line bundle over the circle \(S^1\).
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Fock space
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nontrivial complex line bundle
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