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

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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6 pages, 1 figure. To appear in Physics Letters B

Scientific paper

10.1016/S0370-2693(01)01369-7

The spectrum of curvature perturbation generated during inflation is studied
in the case the inflation-driving scalar field (inflaton) $\phi$ 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 $\ddot{\phi}$ is non-negligible.

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