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Stochastic de sitter (inflationary) stage in the early universe

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Field Theory, Quantum Gravity and Strings

Part of the book series: Lecture Notes in Physics ((LNP,volume 246))

Abstract

The dynamics of a large-scale quasi-homogeneous scalar field producing the de Sitter (inflationary) stage in the early universe is strongly affected by small-scale quantum fluctuations of the same scalar field and, in this way, becomes stochastic. The evolution of the corresponding large-scale space-time metric follows that of the scalar field and is stochastic also. The Fokker-Planck equation for the evolution of the large-scale scalar field is obtained and solved for an arbitrary scalar field potential. The average duration of the de-Sitter stage in the new inflationary scenario is calculated (only partial results on this problem were known earlier). Applications of the developed formalism to the chaotic inflationary scenario and to quantum inflation are considered. In these cases, the main unsolved problem lies in initial pre-inflationary conditions.

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Authors and Affiliations

  1. Landau Institute for Theoretical Physics, 117334, Moscow, U.S.S.R.

    A. A. Starobinsky

  2. ER 176 C.N.R.S. “Département d'Astrophysique Fondamentale”, Observatoire de Meudon, 92195, Meudon Principal Cedex, France

    A. A. Starobinsky

Authors
  1. A. A. Starobinsky
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H. J. de Vega N. Sánchez

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© 1988 Springer-Verlag

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Starobinsky, A.A. (1988). Stochastic de sitter (inflationary) stage in the early universe. In: de Vega, H.J., Sánchez, N. (eds) Field Theory, Quantum Gravity and Strings. Lecture Notes in Physics, vol 246. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-16452-9_6

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  • DOI: https://doi.org/10.1007/3-540-16452-9_6

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-16452-4

  • Online ISBN: 978-3-540-39789-2

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