Hamiltonian BFV-BRST theory of closed quantum cosmological models

Details Hamiltonian BFV-BRST theory of closed quantum cosmological models Hamiltonian BFV-BRST theory of closed quantum cosmological models

Aug 1997

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1997nuphs..57..303k&link_type=abstract

Nuclear Physics B Proceedings Supplements, v. 57, p. 303-306.

Physics

Nuclear Physics

Scientific paper

We introduce and study a new discrete basis of gravity constraints by making use of the harmonic expansion for closed cosmological models. The full set of constraints is split into area-preserving spatial diffeomorphisms, forming a closed subalgebra, and Virasoro-like generators. The operatorial Hamiltonian BFV-BRST quantization is performed in the framework of a perturbative expansion in the dimensionless parameter which is a positive power of the ratio of the Planck volume to the volume of the Universe. For the (N + 1) - dimensional generalization of a stationary closed Bianchi-I cosmology the nilpotency condition for the BRST operator is examined in the first quantum approximation. It turns out that a relationship between the dimensionality of the space and the spectrum of matter fields emerges from the requirement of quantum consistency of the model.

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