Ay. Kamenshchik, NORMALIZABILITY OF THE WAVE-FUNCTION OF THE UNIVERSE, PARTICLE PHYSICS AND SUPERSYMMETRY, Physics letters. Section B, 316(1), 1993, pp. 45-50
Using a criterion obtained earlier for the normalizability of the Hart
le-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 zeta(0)
for the spin-I gauge field and gravitino on the De Sitter instanton i
n terms of physical degrees of freedom. It appears that the usual stan
dard model of particle physics SU(3)c x SU(2)L x U(1), as well as the
minimal SU(5) GUT model, does not satisfy the criterion of normalizabi
lity while the standard supersymmetric model and the SU(5) SUSY model
and the SU(5) supergravity model do satisfy this criterion.