Inflation with High Derivative Couplings

Details Inflation with High Derivative Couplings Inflation with High Derivative Couplings

2006-10-17

arxiv.org/abs/astro-ph/0610514v3

Mod.Phys.Lett.A22:1987-1994,2007

Astronomy and Astrophysics

Astrophysics

26 pages, LaTeX; v2: refs. added; refs. corrected

Scientific paper

10.1142/S0217732307025212

We study a class of generalized inflation models in which the inflaton is coupled to the Ricci scalar by a general $f(\phi, R)$ term. The scalar power spectrum, the spectral index, the running of the spectral index, the tensor mode spectrum and a new consistency relation of the model are calculated. We discuss in detail the issues of how to diagonize the coupled perturbation equations, how to deal with an entropy-like source, and how to determine the initial condition by quantization. By studying some explicit models, we find that rich phenomena such as a blue scalar power spectrum, a large running of the spectral index, and a blue tensor mode spectrum can be obtained.

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