Mode coupling on a geometrodynamical quantization of an inflationary universe
arXiv:2105.03138 · doi:10.1088/1475-7516/2021/07/054
Abstract
A geometrodynamical quantization of an inflationary universe is considered in order to estimate quantum-gravity effects for the primordial perturbations. Contrary to previous studies in the literature, the back-reaction produced by all the modes of the system is included in our computations. Even if at a classical level the assumption that every mode evolves independently provides a good estimate for the dynamics, our results explicitly show that this is not the case when considering quantum-gravity effects. More precisely, both the self-interaction, as well as the back-reaction from other modes, provide a correction of the same order of magnitude to the usual power spectrum as computed in the approximation of quantum field theory on classical backgrounds. In particular, these quantum-gravity effects introduce certain characteristic scale-dependence on the expression of the power spectrum.
arXiv commentPublished version. Some clarifications and comments added
References in corpus (29)
- Quantum-to-classical Transition of Cosmological Perturbations for Non-vacuum Initial States
- Non-gaussianities and the Stimulated creation of quanta in the inflationary universe
- An effective approach to the problem of time
- Effective approach to the problem of time: general features and examples
- Quantum Gravitational Contributions to the CMB Anisotropy Spectrum
- Calculating the local-type fNL for slow-roll inflation with a non-vacuum initial state
- Non-Bunch-Davies Initial State Reconciles Chaotic Models with BICEP and Planck
- Reconciliation of High Energy Scale Models of Inflation with Planck
- Quantum-gravitational effects on gauge-invariant scalar and tensor perturbations during inflation: The slow-roll approximation
- On the modification of the cosmic microwave background anisotropy spectrum from canonical quantum gravity
- Effective Constraints for Relativistic Quantum Systems
- Effective Constraints for Quantum Systems
- Effective relational dynamics of a nonintegrable cosmological model
- Quantum-gravitational effects on gauge-invariant scalar and tensor perturbations during inflation: The de Sitter case
- Non-Gaussianity from Excited Initial Inflationary States
- Inflation and Quantum Gravity in a Born-Oppenheimer Context
- Signatures of Quantum Gravity in a Born-Oppenheimer Context
- Unitarity of quantum-gravitational corrections to primordial fluctuations in the Born-Oppenheimer approach
- Quantum-gravity effects for excited states of inflationary perturbations
- Effective Constraints and Physical Coherent States in Quantum Cosmology: A Numerical Comparison
- The Born-Oppenheimer Method, Quantum Gravity and Matter
- Time in quantum cosmology
- Quantum Cosmology and the Evolution of Inflationary Spectra
- Quantum Gravity and the Large Scale Anomaly
- Why should primordial perturbations be in a vacuum state?
- Corrections to and from high scale physics
- A moment approach to compute quantum-gravity effects in the primordial universe
- Quantum gravitational corrections from the Wheeler-DeWitt equation for scalar-tensor theories
- Quantum gravitational corrections to the inflationary power spectra in scalar-tensor theories