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We consider light scalar fields during inflation and show how the stochastic spectral expansion method can be used to calculate two-point correlation functions of an arbitrary local function of the field in de Sitter space.
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T. Prokopec, N. C. Tsamis, and R. P. Woodard, Stochastic Inflationary Scalar Electrodynamics
2008
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A. Riotto and M. S. Sloth, On Resumming Inflationary Perturbations beyond One-loop
2008
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J. Serreau, Effective potential for quantum scalar fields on a de Sitter geometry
2011
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T. Arai, Nonperturbative Infrared Effects for Light Scalar Fields in de Sitter Space
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T. Prokopec, Late time solution for interacting scalar in accelerating spaces
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V. Vennin and A. A. Starobinsky, Correlation Functions in Stochastic Inflation
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2015
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2017
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I. Moss and G. Rigopoulos, Effective long wavelength scalar dynamics in de Sitter
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J. Grain and V. Vennin, Stochastic inflation in phase space: Is slow roll a stochastic attractor?
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J. Tokuda and T. Tanaka, Statistical nature of infrared dynamics on de Sitter background
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