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arXiv 0906.4102astro-ph.COgr-qchep-phhep-th
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暴胀子势中的高阶项和张量标量比r的下界

Higher order terms in the inflaton potential and the lower bound on the tensor to scalar ratio r

C. Destri, H. J. de Vega, N. G. Sanchez

摘要:

MCMC分析的背景下的CMB+LSS数据的金斯伯格-朗道方法的通货膨胀表明,四度双井膨胀潜力最适合目前的CMB和LSS数据。这为张量与标量涨落的比值r提供了一个下限,最可能的值r = 0.05,在即将到来的CMB观测范围内。本文系统地分析了暴胀子势中任意高阶项对宇宙微波背景辐射谱指数ns和比值r的影响。此外,我们还计算了暴胀宇宙中暴胀子场为费米子凝聚时动力学产生的暴胀子势的封闭形式。这种暴胀子势也属于Ginsburg-Landau类。在(ns,r)平面上,Ginsburg-Landau方法中的所有双阱暴胀子势(包括费米子产生的暴胀子势)的理论值都落在一个普遍的香蕉形区域B内。香蕉形区域B的上边界由四阶双势阱势给出,并为比值r提供了一个上界,B的下边界由二次势加上无限势垒暴胀子势定义,并为比值r提供了一个下界。例如,谱指数ns = 0.964的当前最佳值意味着r在区间:0.021 < r < 0.053。有趣的是,这一范围在即将进行的CMB观测范围内。

英文摘要:

The MCMC analysis of the CMB+LSS data in the context of the Ginsburg-Landau approach to inflation indicated that the fourth degree double--well inflaton potential best fits the present CMB and LSS data. This provided a lower bound for the ratio r of the tensor to scalar fluctuations and as most probable value r = 0.05, within reach of the forthcoming CMB observations. We systematically analyze here the effects of arbitrary higher order terms in the inflaton potential on the CMB observables: spectral index ns and ratio r. Furthermore, we compute in close form the inflaton potential dynamically generated when the inflaton field is a fermion condensate in the inflationary universe. This inflaton potential turns to belong to the Ginsburg-Landau class too. The theoretical values in the (ns,r) plane for all double well inflaton potentials in the Ginsburg-Landau approach (including the potential generated by fermions) turn to be inside a universal banana-shaped region B. The upper border of the banana-shaped region B is given by the fourth order double--well potential and provides an upper bound for the ratio r.The lower border of B is defined by the quadratic plus an infinite barrier inflaton potential and provides a lower bound for the ratio r. For example, the current best value of the spectral index ns = 0.964, implies r is in the interval: 0.021 < r < 0.053. Interestingly enough, this range is within reach of forthcoming CMB observations.

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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