Lattice refinement in loop quantum cosmology

Details Lattice refinement in loop quantum cosmology Lattice refinement in loop quantum cosmology

2008-10-29

arxiv.org/abs/0810.5356v1

J.Phys.Conf.Ser.189:012035,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

17 pages, 1 figure, to appear in the Proceedings of "Recent Developments in Gravity-NEB XIII"; Thessaloniki (Greece), June 200

Scientific paper

10.1088/1742-6596/189/1/012035

Lattice refinement in LQC, its meaning and its necessity are discussed. The r\^ole of lattice refinement for the realisation of a successful inflationary model is explicitly shown. A simple and effective numerical technique to solve the constraint equation for any choice of lattice refinement model is briefly illustrated. Phenomenological and consistency requirements leading to a particular choice of lattice refinement model are presented, while it is subsequently proved that only this choice of lattice refinement leads to a unique factor ordering in the Wheeler-De Witt equation, which is the continuum limit of LQC.

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