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.

9 pages. Version accepted for publication in PRD

Cited by in corpus (17)

• Anomaly freedom in perturbative loop quantum gravity
• Hybrid quantization of an inflationary universe
• Gauge invariant cosmological perturbation equations with corrections from loop quantum gravity
• Super-inflation in Loop Quantum Cosmology
• Hamiltonian cosmological perturbation theory with loop quantum gravity corrections
• Formation and Evolution of Structure in Loop Cosmology
• 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
• Relic gravitons as the observable for Loop Quantum Cosmology
• Inflationary scalar spectrum 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
• Dynamics of k-essence in loop quantum cosmology