arXivDaily arXiv每日学术速递 周一至周五更新
北美退伍军人节（Veterans Day），12 日无更新
arXiv 0912.0522astro-ph.COhep-ph
收藏

来自CMB和SDSS数据的单场膨胀约束

Single-field inflation constraints from CMB and SDSS data

Fabio Finelli, Jan Hamann, Samuel M. Leach, Julien Lesgourgues

备注：
32 pages, 7 figures. v2: additional references, some typos corrected, passed to JCAP style. v3: minor changes, matches published version
发表信息：
JCAP 1004:011,2010
阅读 PDF
arXiv 页面 ↗HTML 原文 ↗

摘要：

我们提出了来自WMAP五年，ACBAR，QUAD，BICEP数据与来自SDSS LRG 7的Halo功率谱相结合的规范单场膨胀的约束。具有非标度不变谱和红色倾斜n_s < 1的模型现在比Harrison-Zel'dovich模型（n_s = 1，张量与标量比r = 0）更受欢迎。在假设谱指数不运行的情况下，我们导出了对参数（n_s，r）的约束，并将我们的结果与简单暴胀模型的预言进行了比较。边际化可信区间为n_s = 0.962^{+0.028}_{-0.026}和r < 0.17（在95%置信水平）。有趣的是，68%的c.l.轮廓主要有利于在可观察区域中具有凸势的模型，但二次势模型仍然在95% c.l.轮廓我们证明了这些结果对所考虑的数据集和理论假设的变化是鲁棒的。然后，我们考虑采用不同的方法，非参数，但近似，或参数，但准确的非零运行的谱指数。结合CMB和LSS的数据，运行模型仅比幂律模型好5.8倍，允许暴胀阶段产生相当大的负运行-0.063 ^{+0.061}_{-0.049}和更大的张量-标量比r < 0.33（95% c.l.）。这就要求暴胀子势的三阶导数在可观测范围内具有较大的值。在暴胀子势可以近似为三阶多项式的假设下，我们推导出这个导数的界。

英文摘要：

We present constraints on canonical single-field inflation derived from WMAP five year, ACBAR, QUAD, BICEP data combined with the halo power spectrum from SDSS LRG7. Models with a non-scale-invariant spectrum and a red tilt n_s < 1 are now preferred over the Harrison-Zel'dovich model (n_s = 1, tensor-to-scalar ratio r = 0) at high significance. Assuming no running of the spectral indices, we derive constraints on the parameters (n_s, r) and compare our results with the predictions of simple inflationary models. The marginalised credible intervals read n_s = 0.962^{+0.028}_{-0.026} and r < 0.17 (at 95% confidence level). Interestingly, the 68% c.l. contours favour mainly models with a convex potential in the observable region, but the quadratic potential model remains inside the 95% c.l. contours. We demonstrate that these results are robust to changes in the datasets considered and in the theoretical assumptions made. We then consider a non-vanishing running of the spectral indices by employing different methods, non-parametric but approximate, or parametric but exact. With our combination of CMB and LSS data, running models are preferred over power-law models only by a Delta chi^2 ~ 5.8, allowing inflationary stages producing a sizable negative running -0.063^{+0.061}_{-0.049} and larger tensor-scalar ratio r < 0.33 at the 95% c.l. This requires large values of the third derivative of the inflaton potential within the observable range. We derive bounds on this derivative under the assumption that the inflaton potential can be approximated as a third order polynomial within the observable range.

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。

↑