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arXiv 1609.06993hep-thastro-ph.CO
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CMB旋光时代的暴胀共形极限

The Conformal Limit of Inflation in the Era of CMB Polarimetry

Enrico Pajer, Guilherme L. Pimentel, Jaap V. S. Van Wijck

摘要:

我们认为,未检测到的原始张量模式告诉我们很多关于原始宇宙。在单场慢卷暴胀中,当前张量标量比的上限$r < 0.07$ $(95 \% ~CL)$意味着哈勃慢卷参数服从$\varepsilon \ll η$,因此建立了一个新的层次结构的存在。我们把这个制度的共形极限(慢卷)通货膨胀,并表明,它包括Starobinsky一样的通货膨胀以及所有可行的单场模型与次普朗克场偏移。在这个极限下,所有的原振子都被全共形群约束到慢滚中的非平凡阶。这固定了功率谱和全双谱,并导致非高斯的“共形”形状。非高斯性的大小通过一致性条件与谱指数的运行有关,因此预计它会很小。在传递中,我们澄清的作用,边界项的$ζ$行动,为了约束方程需要解决,并重新推导我们的结果使用惠勒-德维特形式主义。

英文摘要:

We argue that the non-detection of primordial tensor modes has taught us a great deal about the primordial universe. In single-field slow-roll inflation, the current upper bound on the tensor-to-scalar ratio, $r < 0.07$ $(95 \% ~CL)$, implies that the Hubble slow-roll parameters obey $\varepsilon \ll η$, and therefore establishes the existence of a new hierarchy. We dub this regime the conformal limit of (slow-roll) inflation, and show that it includes Starobinsky-like inflation as well as all viable single-field models with a sub-Planckian field excursion. In this limit, all primordial correlators are constrained by the full conformal group to leading non-trivial order in slow-roll. This fixes the power spectrum and the full bispectrum, and leads to the "conformal" shape of non-Gaussianity. The size of non-Gaussianity is related to the running of the spectral index by a consistency condition, and therefore it is expected to be small. In passing, we clarify the role of boundary terms in the $ζ$ action, the order to which constraint equations need to be solved, and re-derive our results using the Wheeler-deWitt formalism.

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