Inflationary observables in loop quantum cosmology

Abstract

The full set of cosmological observables coming from linear scalar and tensor perturbations of loop quantum cosmology is computed in the presence of inverse-volume corrections. Background inflationary solutions are found at linear order in the quantum corrections; depending on the values of quantization parameters, they obey an exact or perturbed power-law expansion in conformal time. The comoving curvature perturbation is shown to be conserved at large scales, just as in the classical case. Its associated Mukhanov equation is obtained and solved. Combined with the results for tensor modes, this yields the scalar and tensor indices, their running, and the tensor-to-scalar ratio, which are all first order in the quantum correction. The latter could be sizable in phenomenological scenarios. Contrary to a pure minisuperspace parametrization, the lattice refinement parametrization is in agreement with both anomaly cancellation and our results on background solutions and linear perturbations. The issue of the choice of parametrization is also discussed in relation with a possible superluminal propagation of perturbative modes, and conclusions for quantum spacetime structure are drawn.

41 pages; v2: minor typos corrected, summary of results added

References in corpus (41)

• Background Independent Quantum Gravity: A Status Report
• Discreteness of area and volume in quantum gravity
• Quantum Nature of the Big Bang: Improved dynamics
• A new approach to the evolution of cosmological perturbations on large scales
• Quantum Spin Dynamics (QSD)
• k-Essence, superluminal propagation, causality and emergent geometry
• QSD V : Quantum Gravity as the Natural Regulator of Matter Quantum Field Theories
• Loop quantum cosmology of Bianchi I models
• Isotropic Loop Quantum Cosmology
• The Inverse Scale Factor in Isotropic Quantum Geometry
• Effective Equations of Motion for Quantum Systems
• Anomaly freedom in perturbative loop quantum gravity
• Quantization Ambiguities in Isotropic Quantum Geometry
• Loop quantum gravity corrections to gravitational wave dispersion
• Enhancing the tensor-to-scalar ratio in simple inflation
• Loop quantum gravity effects on inflation and the CMB
• Loop quantum cosmology and inhomogeneities
• Large scale effective theory for cosmological bounces
• Lattice refining loop quantum cosmology, anisotropic models and stability
• Loop Quantum Cosmology: Recent Progress
• Loop Quantum Cosmology II: Volume Operators
• Cosmological footprints of loop quantum gravity
• Consistent Loop Quantum Cosmology
• Inflationary Cosmology and Quantization Ambiguities in Semi-Classical Loop Quantum Gravity
• Super-inflation in Loop Quantum Cosmology
• Formation and Evolution of Structure in Loop Cosmology
• Hamiltonian cosmological perturbation theory with loop quantum gravity corrections
• Gravitational waves from the Big Bounce
• Effective Constraints for Quantum Systems
• Cosmological vector modes and quantum gravity effects
• Big Bounce and inhomogeneities
• The gravitational wave background from super-inflation in Loop Quantum Cosmology
• Properties of the Volume Operator in Loop Quantum Gravity I: Results
• Primordial Density Perturbation in Effective Loop Quantum Cosmology
• Effective constraints of loop quantum gravity
• Harmonic cosmology: How much can we know about a universe before the big bang?
• Inflationary scalar spectrum in loop quantum cosmology
• Constraints on a scale invariant power spectrum from superinflation in LQC
• Properties of the Volume Operator in Loop Quantum Gravity II: Detailed Presentation
• Observational constraints of a power spectrum from super-inflation in Loop Quantum Cosmology
• Loop quantum cosmology and tensor perturbations in the early universe

Cited by in corpus (42)

• Loop Quantum Cosmology: A Status Report
• Introduction to Loop Quantum Cosmology
• Consistency of holonomy-corrected scalar, vector and tensor perturbations in Loop Quantum Cosmology
• Deformed General Relativity and Effective Actions from Loop Quantum Gravity
• Observational constraints on loop quantum cosmology
• Planck constraints on single-field inflation
• Anomaly-free cosmological perturbations in effective canonical quantum gravity
• Observational test of inflation in loop quantum cosmology
• Cosmological perturbations in Hybrid Loop Quantum Cosmology: Mukhanov-Sasaki variables
• Hybrid quantization of an inflationary model: The flat case
• Some implications of signature-change in cosmological models of loop quantum gravity
• Duration of inflation and conditions at the bounce as a prediction of effective isotropic loop quantum cosmolog
• Hypersurface-deformation algebroids and effective space-time models
• Quantum gravity and gravitational-wave astronomy
• Primordial scalar power spectrum from the Euclidean Big Bounce
• Primordial tensor modes of the early Universe
• Observational effects from quantum cosmology
• Mathematical Structure of Loop Quantum Cosmology: Homogeneous Models
• Gravitational quantum effects on power spectra and spectral indices with higher-order corrections
• Detecting quantum gravitational effects of loop quantum cosmology in the early universe?
• Inflationary spectra with inverse-volume corrections in loop quantum cosmology and their observational constraints from Planck 2015 data
• Loop Quantum Gravity Phenomenology: Linking Loops to Observational Physics
• Scalar and tensor perturbations in loop quantum cosmology: High-order corrections
• Gauge invariance in Loop Quantum Cosmology : Hamilton-Jacobi and Mukhanov-Sasaki equations for scalar perturbations
• Anomaly free cosmological perturbations with generalised holonomy correction in loop quantum cosmology
• Anomaly freedom in perturbative models of Euclidean loop quantum gravity
• Loop quantum cosmology: relation between theory and observations
• Uniqueness of the Fock quantization of scalar fields and processes with signature change in cosmology
• Non-Gaussian features from the inverse volume corrections in loop quantum cosmology
• Inflationary power spectra with quantum holonomy corrections
• Quantum cosmology of a Bianchi III LRS geometry coupled to a source free electromagnetic field
• Gravitational wave generation in loop quantum cosmology
• Discrete spectrum of the quantum Reissner - Nordström geometry
• Anomaly freedom of the vector modes with holonomy corrections in perturbative Euclidean loop quantum gravity
• An Inhomogeneous Space-Time Patching Model Based on a Nonlocal and Nonlinear Schrodinger Equation
• Estimation of imprints of the bounce in loop quantum cosmology on the bispectra of cosmic microwave background
• Adiabatic and non-adiabatic perturbations for loop quantum cosmology
• Power spectrum and anisotropy of super inflation in loop quantum cosmology
• Cosmological perturbations with inverse-volume corrections in loop quantum cosmology
• Inflationary spectra and observations in loop quantum cosmology
• Quantum gravity, space-time structure, and cosmology
• Inflationary spectra from a near $\Omega$-deformed space-time transition point in Loop Quantum Cosmology