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小场多项式模型对高张量-标量比的通货膨胀的可能性分析。

Likelihood analysis of small field polynomial models of inflation yielding a high Tensor-to-Scalar ratio.

机构信息

Department of physics, Ben-Gurion University of the Negev, Beer-Sheva, Israel.

出版信息

PLoS One. 2019 Apr 24;14(4):e0215287. doi: 10.1371/journal.pone.0215287. eCollection 2019.

DOI:10.1371/journal.pone.0215287
PMID:31017933
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC6481799/
Abstract

Inflationary potentials, with Planckian field excursions, described by a 6th degree polynomial are studied. We solve the Mukhanov-Sasaki equations exactly and employ a probabilistic approach as well as multinomial fitting to analyse the results. We identify the most likely models which yield a tensor-to-scalar ratio r = 0.01 in addition to currently allowed Cosmic Microwave Background (CMB) spectrum and observables. Additionally, we find a significant inter-dependence of CMB observables in these models. This might be an important effect for future analyses, since the different moments of the primordial power spectrum are taken to be independent in the usual Markov chain Monte Carlo methods.

摘要

我们研究了由六次多项式描述的具有普朗克场涨落的通货膨胀潜力。我们精确地求解了 Mukhanov-Sasaki 方程，并采用概率方法和多项拟合来分析结果。我们确定了最有可能的模型，这些模型除了当前允许的宇宙微波背景（CMB）谱和观测值外，还产生了张量-标量比 r = 0.01。此外，我们发现这些模型中的 CMB 观测值之间存在显著的相互依赖性。这可能是未来分析的一个重要影响，因为在通常的马尔可夫链蒙特卡罗方法中，原始功率谱的不同阶矩被视为独立的。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/83e1/6481799/e379998dcd3e/pone.0215287.g007.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/83e1/6481799/6e5ab46c22a9/pone.0215287.g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/83e1/6481799/77cb1c80e703/pone.0215287.g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/83e1/6481799/ab33e6ab4255/pone.0215287.g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/83e1/6481799/8806daec9b9b/pone.0215287.g004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/83e1/6481799/e34dcfe9f3b3/pone.0215287.g005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/83e1/6481799/cd82aa4d1507/pone.0215287.g006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/83e1/6481799/e379998dcd3e/pone.0215287.g007.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/83e1/6481799/6e5ab46c22a9/pone.0215287.g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/83e1/6481799/77cb1c80e703/pone.0215287.g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/83e1/6481799/ab33e6ab4255/pone.0215287.g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/83e1/6481799/8806daec9b9b/pone.0215287.g004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/83e1/6481799/e34dcfe9f3b3/pone.0215287.g005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/83e1/6481799/cd82aa4d1507/pone.0215287.g006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/83e1/6481799/e379998dcd3e/pone.0215287.g007.jpg

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本文引用的文献

1
Small field models with gravitational wave signature supported by CMB data.具有引力波特征的小场模型，得到宇宙微波背景数据支持。
PLoS One. 2018 May 24;13(5):e0197735. doi: 10.1371/journal.pone.0197735. eCollection 2018.
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Cosmology and fundamental physics with the Euclid satellite.利用欧几里得卫星进行的宇宙学与基础物理学研究
Living Rev Relativ. 2018;21(1):2. doi: 10.1007/s41114-017-0010-3. Epub 2018 Apr 12.
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Joint analysis of BICEP2/keck array and Planck Data.BICEP2/Keck 阵列和普朗克数据的联合分析。
Phys Rev Lett. 2015 Mar 13;114(10):101301. doi: 10.1103/PhysRevLett.114.101301. Epub 2015 Mar 9.