Stochastic inflation as a time-dependent random walk

Details Stochastic inflation as a time-dependent random walk Stochastic inflation as a time-dependent random walk

Apr 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989phrvd..39.2245k&link_type=abstract

Physical Review D (Particles and Fields), Volume 39, Issue 8, 15 April 1989, pp.2245-2252

Physics

31

Origin And Formation Of The Universe, Theory Of Quantized Fields

Scientific paper

This paper exploits the ``stochastic inflation'' paradigm introduced by Starobinskii to study the evolution of long-wavelength modes for a free scalar field Φ in an inflationary Universe. By relaxing the assumption of a ``slow roll,'' it becomes obvious that the well-known late-time infrared divergence of the vacuum for a massless field in de Sitter space may be viewed as a consequence of the fluctuation-dissipation theorem. This stochastic model is also extended to allow for nonvacuum states and power-law inflation, situations where the fluctuation-dissipation theorem no longer holds. One recovers the correct late-time form for the expectation value <Φ2> in these cases as well, corroborating thereby the intuitive picture that, quite generally, the long-wavelength modes of the field evolve in a thermal ``bath'' provided by the shorter-wavelength modes.

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