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 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 is non-negligible.
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