Journal
JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS
Volume -, Issue 8, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1475-7516/2020/08/043
Keywords
inflation; primordial black holes
Funding
- Contrato de Atraccion de Talento (Modalidad 1) de la Comunidad de Madrid (Spain) [2017-T1/TIC-5520]
- MINECO (Spain) [FPA2016-78022-P]
- MCIU (Spain) [PGC2018-096646-A-I00]
- IFT UAM-CSIC Centro de Excelencia Severo Ochoa [SEV-2016-0597]
- MIUR [2017FMJFMW]
- INFN grant SESAMO - SinergiE di SApore e Materia Oscura
- INFN grant LINDARK
- research grant The Dark Universe: A Synergic Multimessenger Approach - MIUR [2017X7X85]
- project Theoretical Astroparticle Physics (TAsP) - INFN
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We consider the impact of quantum diffusion on inflationary dynamics during an ultra-slow-roll phase, which can be of particular significance for the formation of primordial black holes. We show, by means of a fully analytical approach, that the power spectrum of comoving curvature perturbations computed in stochastic inflation matches precisely, at the linear level, the result obtained by solving the Mukhanov-Sasaki equation, even in the presence of an ultra-slow-roll phase. We confirm this result numerically in a model in which the inflaton has a polynomial potential and is coupled quadratically to the Ricci scalar. En route, we assess the role that quantum noise plays in the presence of an ultra-slow-roll phase, and clarify the issue of the quantum-to-classical transition in this scenario.
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