Scalar and tensor perturbations in loop quantum cosmology: high-order corrections
- Institute for Advanced Physics and Mathematics, Zhejiang University of Technology, No. 288 Liuhe Rd, Hangzhou, 310032 China (China)
- EUCOS-CASPER, Physics Department, Baylor University, One Bear Place #97316, Waco, TX, 76798-7316 (United States)
- GCAP-CASPER, Mathematics Department, Baylor University, One Bear Place #97328, Waco, TX, 76798-7328 (United States)
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 quantization approaches, LQC involves two types of quantum corrections, the holonomy and inverse-volume, to both of the cosmological background evolution and perturbations. In this paper, using the third-order uniform asymptotic approximations, we derive explicitly the observational quantities of the slow-roll inflation in the framework of LQC with these quantum corrections. We calculate the power spectra, spectral indices, and running of the spectral indices for both scalar and tensor perturbations, whereby the tensor-to-scalar ratio is obtained. We expand all the observables at the time when the inflationary mode crosses the Hubble horizon. As the upper error bounds for the uniform asymptotic approximation at the third-order are ∼< 0.15%, these results represent the most accurate results obtained so far in the literature. It is also shown that with the inverse-volume corrections, both scalar and tensor spectra exhibit a deviation from the usual shape at large scales. Then, using the Planck, BAO and SN data we obtain new constraints on quantum gravitational effects from LQC corrections, and find that such effects could be within the detection of the forthcoming experiments.
- OSTI ID:
- 22525226
- Journal Information:
- Journal of Cosmology and Astroparticle Physics, Vol. 2015, Issue 10; Other Information: Country of input: International Atomic Energy Agency (IAEA); ISSN 1475-7516
- Country of Publication:
- United States
- Language:
- English
Similar Records
Cosmological perturbations in teleparallel Loop Quantum Cosmology
Tensor power spectrum with holonomy corrections in loop quantum cosmology