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Note on initial conditions for small-field inflation

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We show that initial conditions for small-field inflation can be determined quantum mechanically by introducing a suitable flattened region in the scalar potential. The inflaton is then driven toward the… Click to show full abstract

We show that initial conditions for small-field inflation can be determined quantum mechanically by introducing a suitable flattened region in the scalar potential. The inflaton is then driven toward the slow-roll attractor solution exponentially fast, desensitizing inflation from the initial velocity and partially evading the so-called overshoot problem. We give an explicit example in the context of hilltop inflation by introducing an ultra-slow-roll plateau around the maximum of the potential and analyze its effect on the phase-space trajectories.

Keywords: conditions small; initial conditions; inflation; small field; field inflation

Journal Title: Physical Review D
Year Published: 2020

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