Stochastic de Sitter (inflationary) Stage in the Early Universe
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.
- Publication:
-
Field Theory, Quantum Gravity and Strings
- Pub Date:
- 1986
- DOI:
- 10.1007/3-540-16452-9_6
- Bibcode:
- 1986LNP...246..107S