On the one-loop corrections to inflation II: The consistency relation
On the one-loop corrections to inflation II: The consistency relation
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关于通货膨胀的单环修正II：一致性关系
DOI：
10.1016/j.nuclphysb.2007.04.012
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发表时间：
2006
期刊：
影响因子：
--
通讯作者：
M. Sloth
中科院分区：
文献类型：
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作者：
M. Sloth
在本文中，我们将以前对通货膨胀的单环修正的处理扩展。在此之前，我们计算了特定混沌暴胀模型中对背景的单回路修正和暴胀波动的两点相关函数。我们证明了回路修正取决于电子折叠的总数，并估计在无序膨胀的λϕ4模型中，这种影响可能大到几个百分点。在本文中，我们将计算推广到一般的通货膨胀势。我们发现，在具有二次m2ϕ2暴胀势的最简单混沌暴胀模型中，该效应可高达70%。我们根据张量-标量一致性关系讨论了这种效应的物理解释。最后，我们讨论了与温伯格关于量子对宇宙学相关器的贡献的工作的关系。
In this paper we extend our previous treatment of the one-loop corrections to inflation. Previously we calculated the one-loop corrections to the background and the two-point correlation function of inflaton fluctuations in a specific model of chaotic inflation. We showed that the loop corrections depend on the total number of e-foldings and estimated that the effect could be as large as a few percent in a λϕ4model of chaotic inflation. In the present paper we generalize the calculations to general inflationary potentials. We find that effect can be as large as 70% in the simplest model of chaotic inflation with a quadratic m2ϕ2inflationary potential. We discuss the physical interpretation of the effect in terms of the tensor-to-scalar consistency relation. Finally, we discuss the relation to the work of Weinberg on quantum contributions to cosmological correlators.