Primordial tensor power spectrum in holonomy corrected Omega-LQC

Abstract

The holonomy correction is one of the main terms arising when implementing loop quantum gravity ideas at an effective level in cosmology. The recent construction of an anomaly free algebra has shown that the formalism used, up to now, to derive the primordial spectrum of fluctuations was not correct. This article aims at computing the tensor spectrum in a fully consistent way within this deformed and closed algebra.

5 pages, 6 figures, accepted by Phys. Rev. D

References in corpus (16)

• A Quantum Gravity Extension of the Inflationary Scenario
• An Extension of the Quantum Theory of Cosmological Perturbations to the Planck Era
• Loop Quantum Cosmology: An Overview
• The Matter Bounce Scenario in Loop Quantum Cosmology
• Anomaly freedom in perturbative loop quantum gravity
• Loop quantum gravity corrections to gravitational wave dispersion
• Consistency of holonomy-corrected scalar, vector and tensor perturbations in Loop Quantum Cosmology
• Gauge invariant cosmological perturbation equations with corrections from loop quantum gravity
• Cosmological footprints of loop quantum gravity
• Cosmological vector modes and quantum gravity effects
• Quantum Cosmology: Effective Theory
• Observing the Big Bounce with Tensor Modes in the Cosmic Microwave Background: Phenomenology and Fundamental LQC Parameters
• Tensor power spectrum with holonomy corrections in LQC
• Non-linear (loop) quantum cosmology
• Asymptotic silence in loop quantum cosmology
• Power spectrum and anisotropy of super inflation in loop quantum cosmology

Cited by in corpus (42)

• The pre-inflationary dynamics of loop quantum cosmology: Confronting quantum gravity with observations
• Exploring Bouncing Cosmologies with Cosmological Surveys
• Loop quantum cosmology: From pre-inflationary dynamics to observations
• Non-singular bounce scenarios in loop quantum cosmology and the effective field description
• Observational issues in loop quantum cosmology
• Anomaly-free cosmological perturbations in effective canonical quantum gravity
• Anomaly-free perturbations with inverse-volume and holonomy corrections in Loop Quantum Cosmology
• Hybrid quantization of an inflationary model: The flat case
• Quantum Gravity in the Sky: Interplay between fundamental theory and observations
• Testing loop quantum cosmology
• Comparison of primordial tensor power spectra from the deformed algebra and dressed metric approaches in loop quantum cosmology
• Hypersurface-deformation algebroids and effective space-time models
• Universal features of quantum bounce in loop quantum cosmology
• Nonsingular bouncing cosmologies in light of BICEP2
• Primordial scalar power spectrum from the Euclidean Big Bounce
• Observational Exclusion of a Consistent Quantum Cosmology Scenario
• Detailed investigation of the duration of inflation in loop quantum cosmology for a Bianchi-I universe with different inflaton potentials and initial conditions
• Pre-inflationary dynamics in loop quantum cosmology: Power-law potentials
• Loop quantum cosmology of a radiation-dominated flat FLRW universe
• An Overview on the Nature of the Bounce in LQC and PQM
• Effective dynamics of scalar perturbations in a flat Friedmann-Robertson-Walker spacetime in Loop Quantum Cosmology
• Primordial non-Gaussianity and power asymmetry with quantum gravitational effects in loop quantum cosmology
• Preinflationary dynamics of $\alpha -$attractor in loop quantum cosmology
• Separate universes in loop quantum cosmology: framework and applications
• Covariance in self dual inhomogeneous models of effective quantum geometry: Spherical symmetry and Gowdy systems
• Propagation of quantum gravity-modified gravitational waves on a classical FLRW spacetime
• Scalar spectra of primordial perturbations in loop quantum cosmology
• Observations on interfacing loop quantum gravity with cosmology
• Phenomenology of Quantum Reduced Loop Gravity in the isotropic cosmological sector
• Anomaly free cosmological perturbations with generalised holonomy correction in loop quantum cosmology
• Preinflationary perturbations from the closed algebra approach in loop quantum cosmology
• Revisiting pre-inflationary universe of family of $\alpha -$attractor in loop quantum cosmology
• A first step towards the inflationary trans-planckian problem treatment in Loop Quantum Cosmology
• Uniqueness of the Fock quantization of scalar fields and processes with signature change in cosmology
• Symmetry Reduced Loop Quantum Gravity: A Bird's Eye View
• Inflationary power spectra with quantum holonomy corrections
• Gravitational Particle Production and the Validity of Effective Descriptions in Loop Quantum Cosmology
• The Dapor-Liegener model of Loop Quantum Cosmology: A dynamical analysis
• Impact of generalized holonomy corrections on the cosmological primordial power spectra
• The energy spectrum of gravitational waves in a loop quantum cosmological model
• Initial conditions of pre-inflation with Hilltop potential in loop quantum cosmology
• Cosmic tango between the very small and the very large: Addressing CMB anomalies through Loop Quantum Cosmology