Stochastic inflation from quantum field theory and the parametric dependence of the effective noise amplitude

Nov 29, 2021
35 pages
Published in:
  • JHEP 02 (2022) 121
  • Published: Feb 16, 2022
e-Print:

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Abstract: (Springer)
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.
Note:
  • 35 pages, 13 figures, references added, typos corrected, matches published version
  • Cosmology of Theories beyond the SM
  • Effective Field Theories
  • Nonperturbative Effects
  • Thermal Field Theory
  • noise: stochastic
  • inflation: stochastic
  • nonlinear
  • redshift
  • fluctuation
  • nonperturbative