Constraints on a scale invariant power spectrum from superinflation in LQC

Abstract

The computation of the spectrum of primordial perturbations, generated by a scalar field during the super-inflationary phase of Loop Quantum Cosmology, is revisited. The calculation is performed for two different cases. The first considers the dynamics of a massless field and it is found that scale invariance can only be achieved under a severe fine tuning. The second assumes that the field evolves with a constant ratio between kinetic and potential energy, i.e. in a scaling solution. In this case, near scale invariance is a generic feature of the theory if the field rolls in a steep self interaction potential.

arXiv comment9 pages. Version accepted for publication in PRD

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Cited by in corpus (32)

• Loop Quantum Cosmology: A Status Report
• Anomaly-free scalar perturbations with holonomy corrections in loop quantum cosmology
• Anomaly freedom in perturbative loop quantum gravity
• Hybrid quantization of an inflationary universe
• Gauge invariant cosmological perturbation equations with corrections from loop quantum gravity
• Inflation in loop quantum cosmology: Dynamics and spectrum of gravitational waves
• Hybrid quantization of an inflationary model: The flat case
• Super-inflation in Loop Quantum Cosmology
• Formation and Evolution of Structure in Loop Cosmology
• Hamiltonian cosmological perturbation theory with loop quantum gravity corrections
• Lemaitre-Tolman-Bondi collapse from the perspective of loop quantum gravity
• The gravitational wave background from super-inflation in Loop Quantum Cosmology
• Inflationary observables in loop quantum cosmology
• Thermal fluctuations in loop cosmology
• Observing the Big Bounce with Tensor Modes in the Cosmic Microwave Background: Phenomenology and Fundamental LQC Parameters
• Fully Loop-Quantum-Cosmology-corrected propagation of gravitational waves during slow-roll inflation
• Bouncing solutions in Rastall's theory with a barotropic fluid
• Super-inflation and generation of first order vector perturbations in ELKO
• Relic gravitons as the observable for Loop Quantum Cosmology
• Primordial power spectrum from the dressed metric approach in loop cosmologies
• Inflationary scalar spectrum in loop quantum cosmology
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• Inverse volume corrections from loop quantum gravity and the primordial tensor power spectrum in slow-roll inflation
• Loop Quantum Cosmology corrections to inflationary models
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• Inverse volume corrections to emergent tachyonic inflation in loop quantum cosmology
• Uniqueness of the Fock quantization of scalar fields and processes with signature change in cosmology
• "Phantom" Inflation in Warped Compactification
• Loop Quantum Cosmology: Effective theories and oscillating universes
• The cosmological perturbation theory in loop cosmology with holonomy corrections
• On solutions of loop quantum cosmology
• Dynamics of k-essence in loop quantum cosmology