# Detecting quantum gravitational effects of loop quantum cosmology in the early universe

@article{Zhu2015DetectingQG, title={Detecting quantum gravitational effects of loop quantum cosmology in the early universe}, author={Tao Zhu and Anzhong Wang and Gerald B. Cleaver and Klaus Kirsten and Qin Sheng and Qiang Wu}, journal={arXiv: General Relativity and Quantum Cosmology}, year={2015} }

We derive the primordial power spectra and spectral indexes of the density fluctuations and gravitational waves in the framework of loop quantum cosmology (LQC) with holonomy and inverse-volume corrections, by using the uniform asymptotic approximation method to its third-order, at which the upper error bounds are $\lesssim 0.15\%$, and accurate enough for the current and forthcoming cosmological observations. Then, using the Planck, BAO and SN data we obtain the tightest constraints on quantum…

## 22 Citations

Inflationary spectra with inverse-volume corrections in loop quantum cosmology and their observational constraints from Planck 2015 data

- Physics
- 2015

We first derive the primordial power spectra, spectral indices and runnings of both scalar and tensor perturbations of a flat inflationary universe to the second-order approximations of the slow-roll…

Scalar and tensor perturbations in loop quantum cosmology: High-order corrections

- Physics
- 2015

Loop quantum cosmology (LQC) provides promising resolutions to the trans-Planckian issue and initial singularity arising in the inflationary models of general relativity. In general, due to different…

Loop quantum cosmology with a non-commutative quantum deformed photon gas

- PhysicsThe European Physical Journal C
- 2018

The non-commutativity of the space-time had important implications for the very early Universe, when its size was of the order of the Planck length. An important implication of this effect is the…

High-order primordial perturbations with quantum gravitational effects

- Physics
- 2016

In this paper, we provide a systematic investigation of high-order primordial perturbations with nonlinear dispersion relations due to quantum gravitational eects in the framework of uniform…

Slow-roll approximation in loop quantum cosmology

- Physics
- 2017

The slow-roll approximation is an analytical approach to study dynamical properties of the inflationary universe. In this article, systematic construction of the slow-roll expansion for effective…

Inflationary Cosmology with Quantum Gravitational Effects and Swampland Conjectures

- PhysicsCommunications in Theoretical Physics
- 2019

Recently proposed two swampland criteria that arising from string theory landscape lead to the important challenge of the realization of single-field inflationary models. Especially one of swampland…

Nonadiabatic evolution of primordial perturbations and non-Gaussinity in hybrid approach of loop quantum cosmology

- PhysicsPhysical Review D
- 2018

While loop quantum cosmology (LQC) predicts a robust quantum bounce of the background evolution of a Friedmann-Robertson-Walker (FRW) spacetime prior to the standard slow-roll inflation, whereby the…

Inflationary perturbation spectra at next-to-leading slow-roll order in effective field theory of inflation

- PhysicsThe European Physical Journal C
- 2019

The effective field theory (EFT) of inflation provides an essential picture to explore the effects of the unknown high energy physics in the single scalar field inflation models. For a generic EFT of…

Polarized primordial gravitational waves in the ghost-free parity-violating gravity

- PhysicsPhysical Review D
- 2020

The tests of parity symmetry in the gravitational interaction is an attractive issue in gravitational-wave astronomy. In the general theories of gravity with parity violation, one of the fundamental…

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