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arXiv 1303.4989gr-qcastro-ph.COhep-th
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圈量子引力与宇宙学的普朗克体系

Loop Quantum Gravity and the The Planck Regime of Cosmology

Abhay Ashtekar

摘要:

非常早期的宇宙提供了我们目前测试量子引力理论的最佳舞台。暴胀范式成功地解释了观测到的宇宙微波背景的不均匀性,这在一定程度上已经说明了这一点,因为暴胀范式是基于弯曲宇宙时空的量子场论。然而,这种分析排除了普朗克时代,因为背景时空满足爱因斯坦方程,一直回到大爆炸奇点。利用圈量子引力的技术,这个范式现在已经扩展到从普朗克状态到暴胀开始的自洽理论,涵盖了大约11个数量级的曲率。此外,对于一个狭窄的窗口的初始条件,有偏离标准的范例,与新的效果,如修改的一致性关系,涉及标量和张量功率谱和一个新的来源的非高斯性。因此,宇宙大尺度结构的起源可以追溯到量子引力波动\emph{in the Planck regime}。本报告为广义相对论界提供了这些发展的鸟瞰图。

英文摘要:

The very early universe provides the best arena we currently have to test quantum gravity theories. The success of the inflationary paradigm in accounting for the observed inhomogeneities in the cosmic microwave background already illustrates this point to a certain extent because the paradigm is based on quantum field theory on the curved cosmological space-times. However, this analysis excludes the Planck era because the background space-time satisfies Einstein's equations all the way back to the big bang singularity. Using techniques from loop quantum gravity, the paradigm has now been extended to a self-consistent theory from the Planck regime to the onset of inflation, covering some 11 orders of magnitude in curvature. In addition, for a narrow window of initial conditions, there are departures from the standard paradigm, with novel effects, such as a modification of the consistency relation involving the scalar and tensor power spectra and a new source for non-Gaussianities. Thus, the genesis of the large scale structure of the universe can be traced back to quantum gravity fluctuations \emph{in the Planck regime}. This report provides a bird's eye view of these developments for the general relativity community.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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