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Title: Inflationary power spectra with quantum holonomy corrections

In this paper we study slow-roll inflation with holonomy corrections from loop quantum cosmology. It was previously shown that, in the Planck epoch, these corrections lead to such effects as singularity avoidance, metric signature change and a state of silence. Here, we consider holonomy corrections affecting the phase of cosmic inflation, which takes place away from the Planck epoch. Both tensor and scalar power spectra of primordial inflationary perturbations are computed up to the first order in slow-roll parameters and V/ρ{sub c}, where V is a potential of the scalar field and ρ{sub c} is a critical energy density (expected to be of the order of the Planck energy density). Possible normalizations of modes at short scales are discussed. In case the normalization is performed with use of the Wronskian condition applied to adiabatic vacuum, the tensor and scalar spectral indices are not quantum corrected in the leading order. However, by choosing an alternative method of normalization one can obtain quantum corrections in the leading order. Furthermore, we show that the holonomy-corrected equations of motion for tensor and scalar modes can be derived based on effective background metrics. This allows us to show that the classical Wronskian normalization condition ismore » well defined for the cosmological perturbations with holonomy corrections.« less
Authors:
 [1]
  1. Institute of Physics, Jagiellonian University, Reymonta 4, Cracow, 30-059 Poland (Poland)
Publication Date:
OSTI Identifier:
22370606
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Cosmology and Astroparticle Physics; Journal Volume: 2014; Journal Issue: 03; Other Information: Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; CORRECTIONS; ENERGY DENSITY; EQUATIONS OF MOTION; INFLATIONARY UNIVERSE; METRICS; PERTURBATION THEORY; POTENTIALS; QUANTUM COSMOLOGY; SCALAR FIELDS; SCALARS; SPECTRA; TENSORS