Institute for Gravitation and the Cosmos, The Pennsylvania State University, University Park, 16802, USA.
Phys Rev Lett. 2011 Nov 18;107(21):211302. doi: 10.1103/PhysRevLett.107.211302. Epub 2011 Nov 15.
In the inflationary scenario of loop quantum cosmology in the presence of inverse-volume corrections, we give analytic formulas for the power spectra of scalar and tensor perturbations convenient to compare with observations. Since inverse-volume corrections can provide strong contributions to the running spectral indices, inclusion of terms higher than the second-order runnings in the power spectra is crucially important. Using the recent data of cosmic microwave background and other cosmological experiments, we place bounds on the quantum corrections.
在存在逆体积修正的圈量子宇宙学的通货膨胀情景中,我们给出了便于与观测结果比较的标量和张量扰动的功率谱的解析公式。由于逆体积修正可以为谱指数的跑动提供强烈的贡献,因此在功率谱中包含高于二阶跑动的项至关重要。利用宇宙微波背景和其他宇宙学实验的最新数据,我们对量子修正施加了限制。