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- W2068804015 abstract "In recent papers by D'Eath and Esposito two kinds of boundary conditions, local and nonlocal (spectral), were used to study the contribution of fermions to the one-loop prefactor in the Hartle-Hawking wave function of the Universe. Using the $ensuremath{zeta}$-function technique they found that for the case of massless Majorana fermions on a flat background bounded by a three-sphere the values $ensuremath{zeta}(0)$ coincide for the two kinds of boundary conditions mentioned above. Implementing our version of $ensuremath{zeta}$ regularization elaborated earlier, we calculate $ensuremath{zeta}(0)$ for both the massive and massless fermions on the background representing the part of the four-dimensional de Sitter sphere bounded by a three-sphere. For the massless fermions our results coincide with results for a flat background and, consequently, the results for both types of boundary conditions are the same. However, for massive fermions the values $ensuremath{zeta}(0)$ for local and spectral boundary conditions differ on the de Sitter background and on the flat one as well." @default.
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- W2068804015 date "1993-02-15" @default.
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- W2068804015 title "Fermions in one-loop quantum cosmology" @default.
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- W2068804015 doi "https://doi.org/10.1103/physrevd.47.1380" @default.
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