Effective noise in a stochastic description of inflation

S. Winitzki and A. Vilenkin
Phys. Rev. D 61, 084008 – Published 21 March 2000
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Abstract

Stochastic description of inflationary spacetimes emulates the growth of vacuum fluctuations by an effective stochastic “noise field” which drives the dynamics of the volume-smoothed inflaton. We investigate statistical properties of this field and find its correlator to be a function of distance measured in units of the smoothing length. Our results apply for a wide class of smoothing window functions and are different from previous calculations by Starobinsky and others who used a sharp momentum cutoff. We also discuss the applicability of some approximate noise descriptions to simulations of stochastic inflation.

  • Received 9 November 1999

DOI:https://doi.org/10.1103/PhysRevD.61.084008

©2000 American Physical Society

Authors & Affiliations

S. Winitzki*

  • DAMTP, University of Cambridge, Cambridge CB3 9EW, United Kingdom

A. Vilenkin

  • Tufts Institute of Cosmology, Department of Physics and Astronomy, Tufts University, Medford, Massachusetts 02155

  • *Address after Nov. 1, 1999: Department of Physics, Case Western Reserve University, 10900 Euclid Avenue, Cleveland, OH 44106-7079.

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Vol. 61, Iss. 8 — 15 April 2000

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