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arxiv: gr-qc/0607059 · v3 · submitted 2006-07-14 · 🌀 gr-qc · astro-ph· hep-th

Inflationary scalar spectrum in loop quantum cosmology

classification 🌀 gr-qc astro-phhep-th
keywords scalarquantizationquantumcosmologyfieldinflationaryloopspectrum
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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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