圈量子宇宙学中的热反弹与暴胀持续时间的预测
Warm bounce in loop quantum cosmology and the prediction for the duration of inflation
摘要：
我们研究和估计概率预测的持续时间的前膨胀和慢滚阶段后，在循环量子宇宙学的反弹，确定如何在前反弹阶段的辐射的存在影响这些结果。我们提出了我们的分析不同类别的通货膨胀的潜力，其中包括单项幂律混沌类型的潜力，即，为二次，四次和六次潜力，也为希格斯对称性破缺潜力，考虑不同的真空期望值在后一种情况下的值。我们得到的概率密度函数的膨胀e倍的数量和其他相关的数量为每个模型，并产生概率结果从这些分布。这项研究使我们能够讨论在何种条件下，每个模型最终可能导致可观察到的签名的频谱上的宇宙微波背景，否则，也被排除在没有预测足够的量的加速膨胀。辐射对每个模型预测的影响被明确量化。所得到的结果表明，圈量子宇宙学中的暴胀e折叠数不是先验的任意数，但原则上可以是一个可预测的量，即使结果取决于模型和暴胀状态开始之前宇宙中的辐射量。
英文摘要：
We study and estimate probabilistic predictions for the duration of the preinflationary and slow-roll phases after the bounce in loop quantum cosmology, determining how the presence of radiation in the prebounce phase affects these results. We present our analysis for different classes of inflationary potentials that include the monomial power-law chaotic type of potentials, namely, for the quadratic, quartic and sextic potentials and also for a Higgs-like symmetry breaking potential, considering different values for the vacuum expectation value in the latter case. We obtain the probability density function for the number of inflationary e-folds and for other relevant quantities for each model and produce probabilistic results drawn from these distributions. This study allows us to discuss under which conditions each model could eventually lead to observable signatures on the spectrum of the cosmic microwave background, or, else, be also excluded for not predicting a suffcient amount of accelerated expansion. The effect of radiation on the predictions for each model is explicitly quantified. The obtained results indicate that the number of inflationary e-folds in loop quantum cosmology is not a priori an arbitrary number, but can in principle be a predictable quantity, even though the results are dependent on the model and on the amount of radiation in the Universe prior to the start of the inflationary regime.
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