Higher order terms in the inflaton potential and the lower bound on the tensor to scalar ratio r
| Autor: | Destri, C., de Vega, H. J., Sanchez, N. G. |
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| Rok vydání: | 2009 |
| Předmět: | |
| Zdroj: | Annals Phys.326:578-603,2011 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1016/j.aop.2010.11.019 |
| Popis: | 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. Comment: 24 pages, 10 figures. Presentation improved. To appear in Annals of Physics |
| Databáze: | arXiv |
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