On the Physical Hilbert Space of Loop Quantum Cosmology
General Relativity and Quantum Cosmology
2009-11-10 v1
Abstract
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.
Keywords
Cite
@article{arxiv.gr-qc/0411039,
title = {On the Physical Hilbert Space of Loop Quantum Cosmology},
author = {Karim Noui and Alejandro Perez and Kevin Vandersloot},
journal= {arXiv preprint arXiv:gr-qc/0411039},
year = {2009}
}