Primordial power spectrum from the Dapor-Liegener model of loop quantum cosmology

Abstract

We compute the predictions for the power spectrum of scalar perturbations from a recent new proposal for the effective Hamiltonian of loop quantum cosmology. The model provides an attractive picture of the early cosmos, in which our classical Friedmann-Lemaître-Robertson-Walker universe emerges from a quantum phase where the spacetime curvature remains constant and of Planckian size. We compare the predictions for the cosmic microwave background with previous results obtained within loop quantum cosmology, and discuss the differences and similarities. The analysis provides an example of the way differences between quantization schemes can be translated to physical observables.

19 pages, 7 figures. Minor typos corrected. Version Published in General Relativity and Gravitation, Springer

References in corpus (17)

• Quantum Nature of the Big Bang: Improved dynamics
• Quantum Nature of the Big Bang
• Quantum Nature of the Big Bang: An Analytical and Numerical Investigation
• Loop quantum cosmology of k=1 FRW models
• Closed FRW model in Loop Quantum Cosmology
• Quantum field theory on a cosmological, quantum space-time
• Towards Cosmological Dynamics from Loop Quantum Gravity
• Black hole state counting in Loop Quantum Gravity: A number theoretical approach
• Inhomogeneous Loop Quantum Cosmology: Hybrid Quantization of the Gowdy Model
• On the measure problem in slow roll inflation and loop quantum cosmology
• Quantum Gravity in the Sky: Interplay between fundamental theory and observations
• Cosmological Coherent State Expectation Values in LQG I. Isotropic Kinematics
• Non-Gaussianity in Loop Quantum Cosmology
• Hybrid Models in Loop Quantum Cosmology
• Primordial non-Gaussianity and power asymmetry with quantum gravitational effects in loop quantum cosmology
• Black hole state degeneracy in Loop Quantum Gravity
• Quantum reduced loop gravity effective Hamiltonians from a statistical regularization scheme

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