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Article Dans Une Revue Physical Review D Année : 2020

The $1/N$ expansion for stochastic fields in de Sitter spacetime

Camille Noûs

Résumé

We propose a $1/N$ expansion of Starobinsky and Yokoyama's effective stochastic approach for light quantum fields on superhorizon scales in de Sitter spacetime. We explicitly compute the spectrum and the eigenfunctions of the Fokker-Planck operator for a O($N$)-symmetric theory with quartic selfinteraction at leading and next-to-leading orders in this expansion. We obtain simple analytical expressions valid in various nonperturbative regimes in terms of the interaction coupling constant.

Dates et versions

hal-02564608 , version 1 (05-05-2020)

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Citer

G. Moreau, J. Serreau, Camille Noûs. The $1/N$ expansion for stochastic fields in de Sitter spacetime. Physical Review D, 2020, 102, pp.125015. ⟨10.1103/PhysRevD.102.125015⟩. ⟨hal-02564608⟩
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