No-Boundary Theta-Sectors in Spatially Flat Quantum Cosmology

Details No-Boundary Theta-Sectors in Spatially Flat Quantum Cosmology No-Boundary Theta-Sectors in Spatially Flat Quantum Cosmology

1992-03-03

arxiv.org/abs/hep-th/9203007v1

Phys.Rev. D46 (1992) 4355-4364

Physics

High Energy Physics

High Energy Physics - Theory

30 pp

Scientific paper

10.1103/PhysRevD.46.4355

Gravitational theta-sectors are investigated in spatially locally homogeneous cosmological models with flat closed spatial surfaces in 2+1 and 3+1 spacetime dimensions. The metric ansatz is kept in its most general form compatible with Hamiltonian minisuperspace dynamics. Nontrivial theta-sectors admitting a semiclassical no-boundary wave function are shown to exist only in 3+1 dimensions, and there only for two spatial topologies. In both cases the spatial surface is nonorientable and the nontrivial no-boundary theta-sector unique. In 2+1 dimensions the nonexistence of nontrivial no-boundary theta-sectors is shown to be of topological origin and thus to transcend both the semiclassical approximation and the minisuperspace ansatz. Relation to the necessary condition given by Hartle and Witt for the existence of no-boundary theta-states is discussed.

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