Unique factor ordering in the continuum limit of LQC

Abstract

We show that the factor ordering ambiguities associated with the loop quantisation of the gravitational part of the cosmological Hamiltonian constraint, disappear at the level of Wheeler-DeWitt equation only for a particular choice of lattice refinement model, which coincides with constraints imposed from phenomenological and consistency arguments.

12 pages

References in corpus (8)

• Quantum Nature of the Big Bang: Improved dynamics
• Isotropic Loop Quantum Cosmology
• On the Hamiltonian Constraint of Loop Quantum Cosmology
• Lattice refining loop quantum cosmology, anisotropic models and stability
• Lattice Refining Loop Quantum Cosmology and Inflation
• Lattice Refining LQC and the Matter Hamiltonian
• Numerical solutions to lattice-refined models in loop quantum cosmology
• Instabilities in numerical loop quantum cosmology

Cited by in corpus (16)

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• Spontaneous creation of the universe from nothing
• Numerical loop quantum cosmology: an overview
• Von-Neumann Stability and Singularity Resolution in Loop Quantized Schwarzschild Black Hole
• Loop Quantum Cosmology: A brief review
• Numerical Techniques in Loop Quantum Cosmology
• Unstable Anisotropic Loop Quantum Cosmology
• Wavefunction of the universe: Reparametrization invariance and field redefinitions of the minisuperspace path integral
• Lattice refinement in loop quantum cosmology
• Loop Quantum Cosmology: Physics of Singularity Resolution and its Implications
• Lattice Refining Loop Quantum Cosmology from an Isotropic Embedding of Anisotropic Cosmology
• Discretisation parameter and operator ordering in loop quantum cosmology with the cosmological constant
• Phenomenology of loop quantum cosmology