May 16 – 17, 2019
University of Warsaw
Europe/Zurich timezone

Failure of the stochastic approach to inflation beyond slow-roll

May 17, 2019, 10:45 AM
30m
2.62

2.62

Speaker

Diego Cruces (ICC. UB)

Description

After giving a pedagogical review I will clarify that the stochastic approach to inflation is generically reliable only at zeroth order in the (geometrical) slow-roll parameter ϵ_1 if and only if ϵ2_2≪6/ϵ_1, with the notable exception of slow-roll. This is due to the failure of the stochastic ΔN formalism in its standard formulation. However, by keeping the formalism in its regime of validity, I will show that, in ultra-slow-roll, the stochastic approach to inflation reproduces the power spectrum calculated from the linear theory approach.

Presentation materials