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Super-Horizon Scale Dynamics of Multi-Scalar Inflation
Author(s) -
Misao Sasaki,
Takahiro Tanaka
Publication year - 1998
Publication title -
progress of theoretical physics
Language(s) - English
Resource type - Journals
eISSN - 1347-4081
pISSN - 0033-068X
DOI - 10.1143/ptp.99.763
Subject(s) - physics , horizon , scalar field , long wavelength limit , nonlinear system , perturbation (astronomy) , cosmology , classical mechanics , formalism (music) , scalar (mathematics) , statistical physics , theoretical physics , quantum mechanics , mathematics , art , musical , geometry , astronomy , visual arts
We consider the dynamics of a multi-component scalar field on super-horizonscales in the context of inflationary cosmology. We present a method to solvethe perturbation equations on super- horizon scales, i.e., in the longwavelength limit, by using only the knowledge of spatially homogeneousbackground solutions. In doing so, we clarify the relation between theperturbation equations in the long wavelength limit and the backgroundequations. Then as a natural extension of our formalism, we provide a strategyto study super-horizon scale perturbations beyond the standard linearperturbation theory. Namely we reformulate our method so as to take intoaccount the nonlinear dynamics of the scalar field.Comment: 14 pages, typos corrected, to be published in Prog. Theor. Phys. 99 (1998

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