Stochastic inflation from quantum field theory and the parametric dependence of the effective noise amplitude
arXiv:2111.14503 · doi:10.1007/JHEP02(2022)121
Abstract
The non-linear dynamics of long-wavelength cosmological fluctuations may be phrased in terms of an effective classical, but stochastic evolution equation. The stochastic noise represents short-wavelength modes that continually redshift into the long-wavelength domain. The effective evolution may be derived from first principles quantum field theory in an expanding background, through a sequence of approximations calling for additional scrutiny. We perform such an analysis, putting particular emphasis on the amplitude of the stochastic noise, which ultimately determines the cosmological correlations and provides a non-perturbative IR regulator to the dynamics.
arXiv comment35 pages, 13 figures, references added, typos corrected, matches published version
References in corpus (39)
- Equilibrium State of a Massless Self-Interacting Scalar Field in the De Sitter Background
- Effective dynamics of soft non-abelian gauge fields at finite temperature
- Stochastic Quantum Gravitational Inflation
- Generation of fluctuations during inflation: comparison of stochastic and field-theoretic approaches
- Open EFTs, IR Effects and Late-Time Resummations: Systematic Corrections in Stochastic Inflation
- Inflation and the Theory of Cosmological Perturbations
- On the proper treatment of massless fields in Euclidean de Sitter space
- Infrared Correlations in de Sitter Space: Field Theoretic vs. Stochastic Approach
- Classical approximation to quantum cosmological correlations
- Effective potential for quantum scalar fields on a de Sitter geometry
- Stochastic inflation in phase space: Is slow roll a stochastic attractor?
- Feynman Diagrams for Stochastic Inflation and Quantum Field Theory in de Sitter Space
- On "dynamical mass" generation in Euclidean de Sitter space
- Stochastic inflation beyond slow roll
- Effective noise in stochastic description of inflation
- Nonperturbative resummation of de Sitter infrared logarithms in the large-N limit
- De Sitter Diagrammar and the Resummation of Time
- The stochastic spectator
- Effective long wavelength scalar dynamics in de Sitter
- Renormalization group flow and symmetry restoration in de Sitter space
- Stochastic Inflation at NNLO
- Photon mass generation during inflation: de Sitter invariant case
- Infrared resummation for derivative interactions in de Sitter space
- Stochastic Inflation and the Lower Multipoles in the CMB Anisotropies
- Influence of Super-Horizon Scales on Cosmological Observables Generated during Inflation
- Statistical nature of infrared dynamics on de Sitter background
- Vacuum Fluctuations of a Scalar Field during Inflation: Quantum versus Stochastic Analysis
- Spectator field dynamics in de Sitter and curvaton initial conditions
- Quantum field thermalization in expanding backgrounds
- model in Euclidean de Sitter space: beyond the leading infrared approximation
- The Hartree approximation in curved spacetimes revisited I: the effective potential in de Sitter
- Lagrangian Formulation of Stochastic Inflation: A Recursive Approach
- Stochastic approach to inflation II: classicality, coarse-graining and noises
- Nonperturbative infrared effects for light scalar fields in de Sitter space
- The quantum Fokker-Planck equation of stochastic inflation
- Massive scalar field in de Sitter spacetime: a two-loop calculation and a comparison with the stochastic approach
- A graviton propagator for inflation
- Quantum Effects of Mass on Scalar Field Correlations and Fluctuations during Inflation
- Free scalar correlators in de Sitter via the stochastic approach beyond slow roll