Hamiltonian BFV-BRST theory of closed quantum cosmological models
Abstract
We introduce and study a new discrete basis of gravity constraints by making use of harmonic expansion for closed cosmological models. The full set of constraints is split into area-preserving spatial diffeomorphisms, forming closed subalgebra, and Virasoro-like generators. Operational Hamiltonian BFV-BRST quantization is performed in the framework of perturbative expansion in the dimensionless parameter, which is a positive power of the ratio of Planckian volume to the volume of the Universe. For the (N + 1)-dimensional generalization of stationary closed Bianchi-I cosmology the nilpotency condition for the BRST operator is examined in the first quantum approximation. It turns out that a certain relationship between the dimensionality of the space and the spectrum of matter fields emerges from the requirement of quantum consistency of the model.
- Publication:
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Nuclear Physics B
- Pub Date:
- February 1997
- DOI:
- 10.1016/S0550-3213(97)00203-4
- arXiv:
- arXiv:hep-th/9608130
- Bibcode:
- 1997NuPhB.495..309K
- Keywords:
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- High Energy Physics - Theory;
- General Relativity and Quantum Cosmology
- E-Print:
- 28 pages, LaTeX