Quantization of Robertson-Walker geometry coupled to a spin-(3/2 field

Details Quantization of Robertson-Walker geometry coupled to a spin-(3/2 field Quantization of Robertson-Walker geometry coupled to a spin-(3/2 field

Aug 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988phrvd..38.1063c&link_type=abstract

Physical Review D (Particles and Fields), Volume 38, Issue 4, 15 August 1988, pp.1063-1068

Mathematics

Probability

14

Canonical Formalism, Lagrangians, And Variational Principles

Scientific paper

A Robertson-Walker geometry coupled to a spin-(3/2 field is quantized applying Dirac's theory for constrained Hamiltonian systems. An ansatz for the matter field is made, dictated both by the iso- tropy and homogeneity of the geometry and the need to have no negative-norm states at the quantum level. This ansatz also avoids the difficulties of the derivative coupling naturally brought by the spin-(3/2 field. After the factor-ordering problem has been resolved the resulting Wheeler-DeWitt equation is solved. It is thus found that the probability density of finding the system with a scale factor R vanishes, as R approaches the classically singular value R=0.

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