Correlation functions in stochastic inflation
By V. Vennin, A. Starobinsky. 2015
253 citations recorded by the source corpus.
Combining the stochastic and $$\delta N$$δN formalisms, we derive non-perturbative analytical expressions for all correlation functions of scalar perturbations in single-field, slow-roll inflation. The standard, classical formulas are recovered as saddle-point limits of the full results. This yields a classicality criterion that shows that stochastic effects are small only if the potential is sub-Planckian and not too flat. The saddle-point approximation also provides an expansion scheme for calculating stochastic corrections to observable quantities perturbatively in this regime. In the opposite regime, we show that a strong suppression in the power spectrum is generically obtained, and we comment on the physical implications of this effect.
Subfields: Astronomy and Astrophysics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/a4b1db60888a10fb968615829a3fd076d2c94593
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In Astronomy and Astrophysics
In Statistical and Nonlinear Physics
Citations in the corpus
- Higgs Inflation (2018, background): “In this regime, even the classical treatment is compromised since stochastic effects can no longer be ignored [158–161].”
- Quantum diffusion during inflation and primordial black holes (2017, background): “[29, 54], which allow one to derive a hierarchy of ordinary differential equations”
- The exponential tail of inflationary fluctuations: consequences for primordial black holes (2019, methodology): “Alternatively, the mean number of e-folds can be obtained by solving the differential equation [54] 〈N〉 − vφ v2 〈N〉 + 1 vM(2) Pl = 0 ,”