Vacuum charge and the eta function (Q1058217)

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scientific article; zbMATH DE number 3899816
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Vacuum charge and the eta function
scientific article; zbMATH DE number 3899816

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    Vacuum charge and the eta function (English)
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    1984
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    The vacuum charge of a second quantized spinor field in a static classical background field on a static space-time is studied with the help of the eta-function \(\eta_ H(s)=\sum \lambda_ i| \lambda_ i|^{-s-1}\) of an elliptic self-adjoint pseudo-differential operator H (the sum is over its nonzero eigenvalues).
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    vacuum charge
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    second quantized spinor field
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    elliptic self-adjoint pseudo-differential operator
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