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.
35 pages, 13 figures, references added, typos corrected, matches published version
References in corpus (10)
- Generation of fluctuations during inflation: comparison of stochastic and field-theoretic approaches
- On the proper treatment of massless fields in Euclidean de Sitter space
- Classical approximation to quantum cosmological correlations
- Feynman Diagrams for Stochastic Inflation and Quantum Field Theory in de Sitter Space
- Stochastic Inflation at NNLO
- Vacuum Fluctuations of a Scalar Field during Inflation: Quantum versus Stochastic Analysis
- Quantum field thermalization in expanding backgrounds
- 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