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arXiv 0712.3779hep-thastro-ph
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Ekpyrotic模型中由熵产生的曲率扰动引起的非高斯密度涨落

Non-Gaussian Density Fluctuations from Entropically Generated Curvature Perturbations in Ekpyrotic Models

Jean-Luc Lehners, Paul J. Steinhardt

摘要:

我们分析了基于杂化M理论的ekpyrotic/cyclic模型中产生的非高斯密度扰动。在这幅图中,两个标量场在大爆炸相期间产生了几乎尺度不变的熵扰动,这些扰动在大爆炸相完成之后转换成曲率模{ \it},并且正好在大爆炸之前。熵扰动和转换过程中的固有非线性都有助于非高斯性。非高斯参数$f_{NL}$的范围取决于转换过程的渐进程度以及在热释相期间标量场势的陡度。虽然更宽的范围是可能的,原则上,ekpyrotic参数的自然值与逐渐转换过程相结合,导致$-60 \lesssim f_{NL} \lesssim +80$的值,通常比慢滚膨胀大得多,但在目前的观测范围内。

英文摘要:

We analyze the non-gaussian density perturbations generated in ekpyrotic/cyclic models based on heterotic M-theory. In this picture, two scalar fields produce nearly scale-invariant entropic perturbations during an ekpyrotic phase that are converted into curvature modes {\it after the ekpyrotic phase is complete} and just before the big bang. Both intrinsic non-linearity in the entropy perturbation and the conversion process contribute to non-gaussianity. The range of the non-gaussianity parameter $f_{NL}$ depends on how gradual the conversion process is and the steepness of the scalar field potential during the ekpyrotic phase. Although a wider range is possible, in principle, natural values of the ekpyrotic parameters combined with a gradual conversion process lead to values of $-60 \lesssim f_{NL} \lesssim +80$, typically much greater than slow-roll inflation but within the current observational bounds.

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