On the physical Hilbert space of loop quantum cosmology

Journal Article · Tue Feb 15 00:00:00 EST 2005 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PhysRevD.71.044025· OSTI ID:20706031

Noui, Karim; Perez, Alejandro; Vandersloot, Kevin ^[1]

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1. Laboratoire de Mathematiques et Physique, Theorique Parc de Grandmont 37200 Tours (France)

In this paper we present a model of Riemannian loop quantum cosmology with a self-adjoint quantum scalar constraint. The physical Hilbert space is constructed using refined algebraic quantization. When matter is included in the form of a cosmological constant, the model is exactly solvable and we show explicitly that the physical Hilbert space is separable, consisting of a single physical state. We extend the model to the Lorentzian sector and discuss important implications for standard loop quantum cosmology.

• OSTI ID: 20706031
• Journal Information: Physical Review. D, Particles Fields, Vol. 71, Issue 4; Other Information: DOI: 10.1103/PhysRevD.71.044025; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COSMOLOGICAL CONSTANT
COSMOLOGY
EXACT SOLUTIONS
HILBERT SPACE
QUANTIZATION
QUANTUM FIELD THEORY
SCALARS