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Title

Evolution of the curvature perturbation during and after multi-field inflation.

AuthorsChoi, Ki-Young CSIC; Gong, Jinn-Ouk; Jeong, Donghui
KeywordsCosmological perturbation theory
Inflation
Physics of the early universe
Issue Date25-Feb-2009
PublisherInstitute of Physics Publishing
International School for Advanced Studies
CitationJournal of Cosmology and Astroparticle Physics 02(032): (2009)
AbstractWe study the evolution of the curvature perturbation on the super-horizon scales starting from the inflationary epoch until there remains only a single dynamical degree of freedom, presureless matter, in the universe. We consider the cosmic inflation driven by a multiple number of the inflaton fields, which decay into both radiation and pressureless matter components. We present a complete set of the exact background and perturbation equations which describe the evolution of the universe throughout its history. By applying these equations to the simple but reasonable model of multi-field chaotic inflation, we explicitly show that the total curvature perturbation is continuously varying because of the non-adiabatic components of the curvature perturbation generated by the multiple inflaton fields throughout the whole evolution of the universe. We also provide an useful analytic estimation of the total as well as matter and radiation curvature perturbations, assuming that matter is completely decoupled from radiation from the beginning. The resulting isocurvature perturbation between matter and radiation is at most sub-percent level when the masses of the inflaton fields are distributed between 10−6mPl and 10−5mPl. We find that this result is robust unless we use non-trivial decay rates, and that thus, in general, it is hard to obtain large matter-radiation isocurvature perturbation. Also, by using the δN formalism, we point out that the inflationary calculation, especially when involving multiple inflaton fields, is likely to lose the potentially important post-inflationary evolution which can modify the resulting curvature perturbation.
Description33 pages, 4 tables, 6 figures.-- Pre-print archive.
Publisher version (URL)http://dx.doi.org/10.1088/1475-7516/2009/02/032
URIhttp://hdl.handle.net/10261/17840
DOI10.1088/1475-7516/2009/02/032
ISMN1475-7516
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