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Article Dans Une Revue Classical and Quantum Gravity Année : 2012

Lattice loop quantum cosmology: scalar perturbations

Résumé

We study the scalar modes of linear perturbations in loop quantum cosmology. This is done on a lattice where each cell is taken to be homogeneous and isotropic and can be quantized via standard homogeneous loop quantum cosmology techniques. The appropriate interactions between nearby cells are included in the Hamiltonian in order to obtain the correct physics. It is shown that the quantum theory is anomaly-free: the scalar and diffeomorphism constraint operators weakly commute with the Hamiltonian. Finally, the effective theory encoding the leading order quantum gravity corrections is derived and is shown to give the same holonomy-corrected effective equations that have been obtained in previous studies.

Dates et versions

hal-00759477 , version 1 (30-11-2012)

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Edward Wilson-Ewing. Lattice loop quantum cosmology: scalar perturbations. Classical and Quantum Gravity, 2012, 29, pp.215013. ⟨10.1088/0264-9381/29/21/215013⟩. ⟨hal-00759477⟩
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