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تسجيل مستخدم جديدFailure of the stochastic approach to inflation beyond slow-roll
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After giving a pedagogical review we clarify that the stochastic approach to inflation is generically reliable only at zeroth order in the (geometrical) slow-roll parameter $epsilon_1$ if and only if $epsilon_2^2ll 6/epsilon_1$, with the notable exception of slow-roll. This is due to the failure of the stochastic $Delta N$ formalism in its standard formulation. However, by keeping the formalism in its regime of validity, we showed that, in ultra-slow-roll, the stochastic approach to inflation reproduces the power spectrum calculated from the linear theory approach.
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