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arXiv 0706.0179gr-qcastro-phhep-phhep-th
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格点精化圈量子宇宙学与暴胀

Lattice Refining Loop Quantum Cosmology and Inflation

William Nelson, Mairi Sakellariadou

摘要:

我们研究晶格细化在实现一个成功的通货膨胀时代的重要性。在连续极限下,我们求解了控制圈量子宇宙学中量子演化的二阶差分方程,假定在一个合适的精化模型中,晶格是固定的和动态变化的。因此,我们对标量场的势施加一个约束,使得连续近似不被破坏。考虑到这样的标量场可以起到暴胀子的作用,我们得到了暴胀势的第二个约束,从而在大角度尺度上与CMB数据一致。对于一个$m^2ϕ^2/2$暴胀模型,我们结合了暴胀子势的两个约束,对$m$施加了一个上限,在固定晶格的情况下,这是严重微调。因此,我们得出结论,晶格细化是必要的,以实现一个自然的暴胀模型。

英文摘要:

We study the importance of lattice refinement in achieving a successful inflationary era. We solve, in the continuum limit, the second order difference equation governing the quantum evolution in loop quantun cosmology, assuming both a fixed and a dynamically varying lattice in a suitable refinement model. We thus impose a constraint on the potential of a scalar field, so that the continuum approximation is not broken. Considering that such a scalar field could play the role of the inflaton, we obtain a second constraint on the inflationary potential so that there is consistency with the CMB data on large angular scales. For a $m^2ϕ^2/2$ inflationary model, we combine the two constraints on the inflaton potential to impose an upper limit on $m$, which is severely fine-tuned in the case of a fixed lattice. We thus conclude that lattice refinement is necessary to achieve a natural inflationary model.

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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