Jorma Louko and Alberto Molgado 2005 Class. Quantum Grav. 22 4007 doi:10.1088/0264-9381/22/19/012
Superselection sectors in the Ashtekar–Horowitz–Boulware model
Jorma Louko and Alberto Molgado
Show affiliationsWe investigate refined algebraic quantization of the constrained Hamiltonian system introduced by Boulware as a simplified version of the Ashtekar–Horowitz model. The dimension of the physical Hilbert space is finite and asymptotes in the semiclassical limit to (2π
)−1 times the volume of the reduced phase space. The representation of the physical observable algebra is irreducible for generic potentials but decomposes into irreducible subrepresentations for certain special potentials. The superselection sectors are related to singularities in the reduced phase space and to the rate of divergence in the formal group averaging integral. There is no tunnelling into the classically forbidden region of the unreduced configuration space, but there can be tunnelling between disconnected components of the classically allowed region.
- PACS
- MSC
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81Sxx General quantum mechanics and problems of quantization
- Subjects
- Dates
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Issue 19 (7 October 2005)
Received 8 June 2005, in final form 8 August 2005
Published 14 September 2005
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Superselection sectors in the Ashtekar–Horowitz–Boulware model
Jorma Louko and Alberto Molgado 2005 Class. Quantum Grav. 22 4007
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