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

  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},
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… 

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