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Curvature perturbation at the local extremum of the inflaton's potential

Abstract

The spectrum of curvature perturbation generated during inflation is studied in the case the inflation-driving scalar field (inflaton) ϕ\phi crosses over its potential extremum. It is shown that the nondecaying mode of perturbation has a finite value and a proper formula is given. The result is also extended to more general cases where ϕ¨\ddot{\phi} is non-negligible.Comment: 6 pages, 1 figure. To appear in Physics Letters

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