Ultra-slow-roll inflation with quantum diffusion - Archive ouverte HAL
Article Dans Une Revue Journal of Cosmology and Astroparticle Physics Année : 2021

Ultra-slow-roll inflation with quantum diffusion

Résumé

We consider the effect of quantum diffusion on the dynamics of the inflaton during a period of ultra-slow-roll inflation. We extend the stochastic-$\delta\mathcal{N}$ formalism to the ultra-slow-roll regime and show how this system can be solved analytically in both the classical-drift and quantum-diffusion dominated limits. By deriving the characteristic function, we are able to construct the full probability distribution function for the primordial density field. In the diffusion-dominated limit, we recover an exponential tail for the probability distribution, as found previously in slow-roll inflation. To complement these analytical techniques, we present numerical results found both by very large numbers of simulations of the Langevin equations, and through a new, more efficient approach based on iterative Volterra integrals. We illustrate these techniques with two examples of potentials that exhibit an ultra-slow-roll phase leading to the possible production of primordial black holes.
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Dates et versions

hal-03129447 , version 1 (09-10-2024)

Identifiants

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Chris Pattison, Vincent Vennin, David Wands, Hooshyar Assadullahi. Ultra-slow-roll inflation with quantum diffusion. Journal of Cosmology and Astroparticle Physics, 2021, 04, pp.080. ⟨10.1088/1475-7516/2021/04/080⟩. ⟨hal-03129447⟩
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