Stochastic inflation and dimensional reduction

Kuehnel F, Schwarz D (2008)
PHYSICAL REVIEW D 78(10).

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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Abstract / Bemerkung
We adopt methods that are well-known in statistical physics to the problem of stochastic inflation. The effective power spectrum for the classical, stochastic long-wavelength fluctuations is calculated for free scalar fields in a de Sitter background. For a smooth separation into long and short wavelengths, we identify an infrared divergence of the effective power spectrum, which has its correspondence in statistical physics in the phenomenon of dimensional reduction. The inflationary dynamics pushes the affected scales exponentially fast to large superhorizon scales, and establishes scale-invariant behavior for smaller scales (for massless fields). In the limit of a sharp separation of wavelengths, the scale of the infrared divergence is pushed to infinity.
Erscheinungsjahr
2008
Zeitschriftentitel
PHYSICAL REVIEW D
Band
78
Ausgabe
10
ISSN
1550-7998
eISSN
1550-2368
Page URI
https://pub.uni-bielefeld.de/record/1636633

Zitieren

Kuehnel F, Schwarz D. Stochastic inflation and dimensional reduction. PHYSICAL REVIEW D. 2008;78(10).
Kuehnel, F., & Schwarz, D. (2008). Stochastic inflation and dimensional reduction. PHYSICAL REVIEW D, 78(10). doi:10.1103/PhysRevD.78.103501
Kuehnel, F., and Schwarz, D. (2008). Stochastic inflation and dimensional reduction. PHYSICAL REVIEW D 78.
Kuehnel, F., & Schwarz, D., 2008. Stochastic inflation and dimensional reduction. PHYSICAL REVIEW D, 78(10).
F. Kuehnel and D. Schwarz, “Stochastic inflation and dimensional reduction”, PHYSICAL REVIEW D, vol. 78, 2008.
Kuehnel, F., Schwarz, D.: Stochastic inflation and dimensional reduction. PHYSICAL REVIEW D. 78, (2008).
Kuehnel, Florian, and Schwarz, Dominik. “Stochastic inflation and dimensional reduction”. PHYSICAL REVIEW D 78.10 (2008).

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arXiv: 0805.1998

Inspire: 785704

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