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Explicit derivation of the fluctuation-dissipation relation of the vacuum noise in the \(n\)-dimensional de Sitter space-time - MaRDI portal

Explicit derivation of the fluctuation-dissipation relation of the vacuum noise in the \(n\)-dimensional de Sitter space-time (Q2746868)

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scientific article; zbMATH DE number 1656660
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Explicit derivation of the fluctuation-dissipation relation of the vacuum noise in the \(n\)-dimensional de Sitter space-time
scientific article; zbMATH DE number 1656660

    Statements

    2 April 2003
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    fluctuation-dissipation
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    vacuum noise
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    de Sitter space
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    Explicit derivation of the fluctuation-dissipation relation of the vacuum noise in the \(n\)-dimensional de Sitter space-time (English)
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    The authors show that the prescription given by \textit{H. Terashima} [Phys. Rev. D (3) 60, 084001 (1999)] for fluctuation-dissipation relation of the vacuum noise in the \(N\)-dimensional de Sitter space-time works as it should. This is done by an explicit calculation showing that the dissipation coefficients obtained from the classical equations of motion of the detector and the scalar (or Dirac) field satisfies the fluctuation-dissipation relation associated with the vacuum noise. Several applications are indicated, among them applications to the theory of black holes.
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