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arXiv 1002.3914gr-qc
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暴胀、重整化和CMB各向异性

Inflation, Renormalization, and CMB Anisotropies

I. Agullo, J. Navarro-Salas, Gonzalo J. Olmo, Leonard Parker

摘要:

在单场慢卷暴胀模型中,标量和张量(高斯)扰动都具有零均值和非零方差的特征。在位置空间中,这些场的相应方差在紫外线处发散。位置空间中有限方差的要求迫使其通过膨胀宇宙中的量子场重整化进行正则化。这对预测的标量和张量功率谱的波长,今天是在可观察的尺度有重要的影响。特别是,我们发现一个非平凡的变化的一致性条件,涉及张量标量比“r”的谱指数。例如,一个精确的尺度不变张量功率谱n_t=0,现在与非零比率r= 0.12 +/- 0.06兼容,这是标准预测所禁止的(r=-8n_t)。即将到来的关于遗迹引力波对宇宙微波背景辐射影响的观测将为新的预测提供一个重要的检验。

英文摘要:

In single-field, slow-roll inflationary models, scalar and tensorial (Gaussian) perturbations are both characterized by a zero mean and a non-zero variance. In position space, the corresponding variance of those fields diverges in the ultraviolet. The requirement of a finite variance in position space forces its regularization via quantum field renormalization in an expanding universe. This has an important impact on the predicted scalar and tensorial power spectra for wavelengths that today are at observable scales. In particular, we find a non-trivial change in the consistency condition that relates the tensor-to-scalar ratio "r" to the spectral indices. For instance, an exact scale-invariant tensorial power spectrum, n_t=0, is now compatible with a non-zero ratio r= 0.12 +/- 0.06, which is forbidden by the standard prediction (r=-8n_t). Forthcoming observations of the influence of relic gravitational waves on the CMB will offer a non-trivial test of the new predictions.

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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