Abstract

Using a criterion obtained earlier for the normalizability of the Hartle-Hawking wave function of the Universe in the one-loop approximation we investigate the permissible particle content of different models. To carry out such a consideration we calculate scaling factors ζ(0) for the spin-1 gauge field and gravitino on the De Sitter instanton in terms of physical degrees of freedom. It appears that the usual standard model of particle physics SU(3) c⊗SU(2) L⊗U(1), as well as the minimal SU(5) GUT model, does not satisfy the criterion of normalizability while the standard supersymmetric model and the SU(5) SUSY model and the SU(5) supergravity model do satisfy this criterion.

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