Loop quantum cosmology: relation between theory and observations
arXiv:2301.10215 · doi:10.1007/978-981-19-3079-9_103-1
Abstract
This chapter provides a review of the frameworks developed for cosmological perturbation theory in loop quantum cosmology, and applications to various models of the early universe including inflation, ekpyrosis and the matter bounce, with an emphasis on potential observational consequences. It also includes a discussion on extensions to include non-Gaussianities and background anisotropies, as well as on its limitations concerning trans-Planckian perturbations and quantization ambiguities. It concludes with a summary of recent work studying the relation between loop quantum cosmology and full loop quantum gravity.
47 pages, 2 figures, to be published in Handbook of Quantum Gravity (Eds. C. Bambi, L. Modesto and I.L. Shapiro, Springer, expected 2023)
References in corpus (62)
- Quantum Nature of the Big Bang: Improved dynamics
- BICEP / Keck XIII: Improved Constraints on Primordial Gravitational Waves using Planck, WMAP, and BICEP/Keck Observations through the 2018 Observing Season
- Towards a Nonsingular Bouncing Cosmology
- Corrections to the Friedmann Equations from LQG for a Universe with a Free Scalar Field
- Generating Ekpyrotic Curvature Perturbations Before the Big Bang
- Theory of cosmological perturbations in an anisotropic universe
- Anomaly freedom in perturbative loop quantum gravity
- Towards Spinfoam Cosmology
- Hybrid Quantum Gowdy Cosmology: Combining Loop and Fock Quantizations
- Loop quantum gravity corrections to gravitational wave dispersion
- Hybrid quantization of an inflationary universe
- Consistency of holonomy-corrected scalar, vector and tensor perturbations in Loop Quantum Cosmology
- Quantum field theory on a cosmological, quantum space-time
- Loop Quantization of Vacuum Bianchi I Cosmology
- Anisotropy in a Nonsingular Bounce
- Gauge invariant cosmological perturbation equations with corrections from loop quantum gravity
- The length operator in Loop Quantum Gravity
- Non-singular bounce scenarios in loop quantum cosmology and the effective field description
- Bouncing cosmologies with dark matter and dark energy
- On the measure problem in slow roll inflation and loop quantum cosmology
- Singularity resolution depends on the clock
- A CDM bounce scenario
- Quantum Gravity in the Sky: Interplay between fundamental theory and observations
- Cosmological vector modes and quantum gravity effects
- Preferred instantaneous vacuum for linear scalar fields in cosmological space-times
- New length operator for loop quantum gravity
- Cosmological constant in spinfoam cosmology
- Quantum Cosmology: Effective Theory
- Effective Dynamics from Coherent State Path Integral of Full Loop Quantum Gravity
- Inflationary observables in loop quantum cosmology
- Large scale anomalies in the CMB and non-Gaussianity in bouncing cosmologies
- Towards classical geometrodynamics from Group Field Theory hydrodynamics
- Group field theory condensate cosmology: An appetizer
- Hybrid Loop Quantum Cosmology: An Overview
- Matter bounce cosmology with a generalized single field: non-Gaussianity and an extended no-go theorem
- Primordial scalar power spectrum from the hybrid approach in loop cosmologies
- Pre-inflationary dynamics in loop quantum cosmology: Power-law potentials
- Towards a reduced phase space quantization in loop quantum cosmology with an inflationary potential
- Phenomenological implications of modified loop cosmologies: an overview
- Non-covariance of the dressed-metric approach in loop quantum cosmology
- Anomalies in the CMB from a cosmic bounce
- States of Low Energy in bouncing inflationary scenarios in Loop Quantum Cosmology
- Non-oscillating power spectra in Loop Quantum Cosmology
- Effective dynamics of scalar cosmological perturbations from quantum gravity
- First-Order Quantum Correction in Coherent State Expectation Value of Loop-Quantum-Gravity Hamiltonian
- Fine-tuning challenges for the matter bounce scenario
- Predictions for the CMB from an anisotropic quantum bounce
- Observational consequences of Bianchi I spacetimes in loop quantum cosmology
- Loop Quantum Gravity on Dynamical Lattice and Improved Cosmological Effective Dynamics with Inflaton
- Loop quantum gravity, signature change, and the no-boundary proposal
- Hamiltonian theory of classical and quantum gauge invariant perturbations in Bianchi I spacetimes
- Primordial power spectrum from a matter-Ekpyrotic bounce scenario in loop quantum cosmology
- Manifestly Gauge-Invariant Cosmological Perturbation Theory from Full Loop Quantum Gravity
- Challenges in recovering a consistent cosmology from the effective dynamics of loop quantum gravity
- Constraining the bispectrum from bouncing cosmologies with Planck
- Primordial perturbations in the Dapor-Liegener model of hybrid loop quantum cosmology
- Diffeomorphism invariant cosmological sector in loop quantum gravity
- Mass of cosmological perturbations in the hybrid and dressed metric formalisms of Loop Quantum Cosmology for the Starobinsky and exponential potentials
- The time-dependent mass of cosmological perturbations in loop quantum cosmology: Dapor-Liegener regularization
- Observational constraints on anisotropies for bouncing alternatives to inflation
- xAct Implementation of the Theory of Cosmological Perturbation in Bianchi I Spacetimes
- Quantum isotropy and the reduction of dynamics in Bianchi I
Cited by in corpus (6)
- Universal properties of the evolution of the Universe in modified loop quantum cosmology
- Loop Quantum Cosmology: Physics of Singularity Resolution and its Implications
- Numerics of Bianchi type II and type IX spacetimes in effective loop quantum cosmology
- Stable initial conditions and analytical investigations of cosmological perturbations in a modified loop quantum cosmology
- Arrows of time in bouncing cosmologies
- On the evolution of the volume in Loop Quantum Cosmology