Relative \(\zeta\)-determinant and adiabatic decomposition of the \(\zeta\)-determinant of the Dirac Laplacian (Q5928792)
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scientific article; zbMATH DE number 1584278
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Relative \(\zeta\)-determinant and adiabatic decomposition of the \(\zeta\)-determinant of the Dirac Laplacian |
scientific article; zbMATH DE number 1584278 |
Statements
Relative \(\zeta\)-determinant and adiabatic decomposition of the \(\zeta\)-determinant of the Dirac Laplacian (English)
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4 April 2001
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The authors announce some results on decomposition formulas for the \(\zeta\)-determinant of the Dirac Laplacian, which hold in the adiabatic limit. Details and proofs will be given in [\textit{J. Park} and \textit{K. Wojciechowski}, Lett. Math. Phys. 52, No. 4, 329-337 (2000; Zbl 0985.58016)].
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Dirac operator
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Zeta-function
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Zeta-determinant
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relative Zeta-determinant
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selfadjoint elliptic boundary problem
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adiabatic decomposition of the Zeta-determinant
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