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Spectrum of Curvature Perturbation of Multi-field Inflation with Small-Field Potential

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arxiv 0801.3129 v1 pith:HUCMZPSM submitted 2008-01-21 astro-ph

Spectrum of Curvature Perturbation of Multi-field Inflation with Small-Field Potential

classification astro-ph
keywords perturbationspectrumcurvatureinflationmulti-fieldpotentialsmall-fieldassume
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In this paper, we have studied the spectrum of curvature perturbation of multi-field inflation with general small-field potential. We assume that the isocurvature perturbation may be neglected, and by using the Sasaki-Stewart formalism, we found that the spectrum may be redder or bluer than of its corresponding single field. The result depends upon the values of fields and their effective masses at the horizon-crossing time. We discuss the relevant cases.

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