Note on initial conditions for small-field inflation
arXiv:2008.02494 · doi:10.1103/PhysRevD.102.103510
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 towards the slow-roll attractor solution exponentially fast, desensitising 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 analyse its effect on the phase-space trajectories.
arXiv comment20 pages, 5 figures, v2: comments and references added, typos corrected, published version
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