Fermions in one-loop quantum cosmology

Details Fermions in one-loop quantum cosmology Fermions in one-loop quantum cosmology

Feb 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993phrvd..47.1380k&link_type=abstract

Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 47, Issue 4, 15 February 1993, pp.1380-1390

Physics

25

Scientific paper

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 ζ-function technique they found that for the case of massless Majorana fermions on a flat background bounded by a three-sphere the values ζ(0) coincide for the two kinds of boundary conditions mentioned above. Implementing our version of ζ regularization elaborated earlier, we calculate ζ(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 the results for a flat background and, consequently, the results for both types of boundary conditions are the same. However, for massive fermions the values ζ(0) for local and spectral boundary conditions differ on the de Sitter background and on the flat one as well.

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