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arXiv 0710.0855gr-qc
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单圈量子引力对暴胀的长期影响

Secular effects on inflation from one-loop quantum gravity

J. A. Cabrer, D. Espriu

摘要:

在本文中,我们重新审视和扩展以前的分析,在宇宙学设置中的量子引力效应的可能相关性进行了研究。感兴趣的对象是由于无质量模式(如光子或引力子本身)的循环交换而在引力的有效作用中产生的非局部(对数)项。我们纠正了以前工作中存在的一个错误,并在不同的宇宙学场景中更一般地讨论了这个问题。在宇宙学常数为零的物质支配宇宙和de Sitter宇宙两种特殊情况下,得到了在导数展开下宇宙标度因子达到一定阶数的单圈量子修正演化方程.我们表明,量子修正,虽然很小,可能有一个长期的影响,最终修改的膨胀率。对于德西特宇宙,它们倾向于减慢膨胀的速度,而在物质主导的宇宙中,这种效果似乎相反。为了部分理解这些效应,我们提供了一个补充的牛顿分析。

英文摘要:

In this paper we revisit and extend a previous analysis where the possible relevance of quantum gravity effects in a cosmological setup was studied. The object of interest are non-local (logarithmic) terms generated in the effective action of gravity due to the exchange in loops of massless modes (such as photons or the gravitons themselves). We correct one mistake existing in the previous work and discuss the issue in a more general setting in different cosmological scenarios. We obtain the one-loop quantum-corrected evolution equations for the cosmological scale factor up to a given order in a derivative expansion in two particular cases: a matter dominated universe with vanishing cosmological constant, and in a de Sitter universe. We show that the quantum corrections, albeit tiny, may have a secular effect that eventually modifies the expansion rate. For a de Sitter universe they tend to slow down the rate of the expansion, while the effect seems to have the opposite sign in a matter dominated universe. To partly understand these effects we provide a complementary newtonian analysis.

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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