Hamiltonian BFVBRST 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 areapreserving spatial diffeomorphisms, forming closed subalgebra, and Virasorolike generators. Operational Hamiltonian BFVBRST 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 BianchiI 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:

Nuclear Physics B
 Pub Date:
 February 1997
 DOI:
 10.1016/S05503213(97)002034
 arXiv:
 arXiv:hepth/9608130
 Bibcode:
 1997NuPhB.495..309K
 Keywords:

 High Energy Physics  Theory;
 General Relativity and Quantum Cosmology
 EPrint:
 28 pages, LaTeX