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

T. Christodoulakis and C. G. Papadopoulos
Phys. Rev. D 38, 1063 – Published 15 August 1988
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Abstract

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.

  • Received 19 February 1988

DOI:https://doi.org/10.1103/PhysRevD.38.1063

©1988 American Physical Society

Authors & Affiliations

T. Christodoulakis and C. G. Papadopoulos

  • Physics Department, University of Athens, Panepistimioupolis 15771, Athens Greece

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Vol. 38, Iss. 4 — 15 August 1988

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