Inflationary scalar spectrum in loop quantum cosmology

Details Inflationary scalar spectrum in loop quantum cosmology Inflationary scalar spectrum in loop quantum cosmology

2006-07-14

arxiv.org/abs/gr-qc/0607059v3

Class.Quant.Grav. 24 (2007) 829-854

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

29 pages, 2 figures. v2: typos corrected, discussion improved and extended, new section added. Conclusions are unchanged

Scientific paper

10.1088/0264-9381/24/4/005

In the context of loop quantum cosmology, we consider an inflationary era driven by a canonical scalar field and occurring in the semiclassical regime, where spacetime is a continuum but quantum gravitational effects are important. The spectral amplitude and index of scalar perturbations on an unperturbed de Sitter background are computed at lowest order in the slow-roll parameters. The scalar spectrum can be blue-tilted and far from scale invariance, and tuning of the quantization ambiguities is necessary for agreement with observations. The results are extended to a generalized quantization scheme including those proposed in the literature. Quantization of the matter field at sub-horizon scales can provide a consistency check of such schemes.

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