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… 
View PDF on arXiv
22 Citations
Methods Citations
2

Figures and Tables from this paper

22 Citations

Citation Type

Citation Type

Inflationary spectra with inverse-volume corrections in loop quantum cosmology and their observational constraints from Planck 2015 data
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
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
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
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
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…
Universal features of quantum bounce in loop quantum cosmology
Inflationary Cosmology with Quantum Gravitational Effects and Swampland Conjectures
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
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
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
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…
...
1
2
3
...

References

SHOWING 1-10 OF 55 REFERENCES
Inflation in loop quantum cosmology: Dynamics and spectrum of gravitational waves
Loop quantum cosmology provides an efficient framework to study the evolution of the Universe beyond the classical Big Bang paradigm. Because of holonomy corrections, the singularity is replaced by a…
Observational test of inflation in loop quantum cosmology
We study in detail the power spectra of scalar and tensor perturbations generated during inflation in loop quantum cosmology (LQC). After clarifying in a novel quantitative way how inverse-volume…
Inflationary observables in loop quantum cosmology
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…
Loop Quantum Cosmology: A Status Report
Loop quantum cosmology (LQC) is the result of applying principles of loop quantum gravity (LQG) to cosmological settings. The distinguishing feature of LQC is the prominent role played by the quantum…
Gravitational waves from the big bounce
In this paper we investigate gravitational wave production during the big bounce phase, inspired by loop quantum cosmology. We consider the influence of the holonomy corrections to the equation for…
Inflationary power spectra with quantum holonomy corrections
In this paper we study slow-roll inflation with holonomy corrections from loop quantum cosmology. Both tensor and scalar power spectra of primordial perturbations are computed up to the first order…
Observational issues in loop quantum cosmology
Quantum gravity is sometimes considered as a kind of metaphysical speculation. In this review, we show that, although still extremely difficult to reach, observational signatures can in fact be…
Anomaly-free scalar perturbations with holonomy corrections in loop quantum cosmology
Holonomy corrections to scalar perturbations are investigated in the loop quantum cosmology framework. Due to the effective approach, modifications of the algebra of constraints generically lead to…
Trans-Planckian Issues for Inflationary Cosmology
The accelerated expansion of space during the cosmological inflation period leads to trans-Planckian issues which need to be addressed. Most importantly, the physical wavelength of fluctuations which…
Cosmological vector modes and quantum gravity effects
In contrast to scalar and tensor modes, vector modes of linear perturbations around an expanding Friedmann?Robertson?Walker universe decay. This makes them largely irrelevant for late time cosmology,…
...
1
2
3
4
5
...