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Discretization parameter and operator ordering in loop quantum cosmology with the cosmological constant

Discretization parameter and operator ordering in loop quantum cosmology with the cosmological constant

In loop quantum cosmology, the Hamiltonian reduces to a finite difference operator. We study the initial singularity and the large volume limit against the ambiguities in the discretisation and the operator ordering within a homogeneous, isotropic and spatially flat model with the cosmological constant. We find that the absence of …