Quantum corrections to scalar field dynamics in a slow-roll space-time
arXiv:1311.5532 · doi:10.1007/JHEP05(2014)026
Abstract
We consider the dynamics of a quantum scalar field in the background of a slow-roll inflating Universe. We compute the one-loop quantum corrections to the field and Friedmann equation of motion, in both a 1PI and a 2PI expansion, to leading order in slow-roll. Generalizing the works of [1-3], we then solve these equations to compute the effect on the primordial power spectrum, for the case of a self-interacting inflaton and a self-interacting spectator field. We find that for the inflaton the corrections are negligible due to the smallness of the coupling constant despite the large IR enhancement of the loop contributions. For a curvaton scenario, on the other hand, we find tension in using the 1PI loop corrections, which may indicate that the quantum corrections could be non-perturbatively large in this case, thus requiring resummation.
33 pages, 1 figure. Version published in JHEP
References in corpus (7)
- On the one loop corrections to inflation and the CMB anisotropies
- Breakdown of Semiclassical Methods in de Sitter Space
- On the One Loop Corrections to Inflation II: The Consistency Relation
- On Resumming Inflationary Perturbations beyond One-loop
- Classical approximation to quantum cosmological correlations
- Quantum corrections in Higgs inflation: the real scalar case
- Quantum field thermalization in expanding backgrounds
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