Dissipation and fluctuation of quantum fields in expanding universes

Details Dissipation and fluctuation of quantum fields in expanding universes Dissipation and fluctuation of quantum fields in expanding universes

Aug 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990phrvd..42.1027m&link_type=abstract

Physical Review D (Particles and Fields), Volume 42, Issue 4, 15 August 1990, pp.1027-1034

Physics

16

Scientific paper

A stochastic dynamics of a long-wavelength part of a scalar field in an expanding universe is derived by using the influence functional method. Dissipation as well as fluctuation are derived for general parameters: a mass, a coupling to the scalar curvature, and a cutoff scale parameter. A dissipation-fluctuation relation is found with a temperature which is proportional to the Hawking temperature, but system dependent. The method is further applied to an expanding universe with a power law and yields the dispersion which agrees with that obtained by the regularization method. The back reaction to the background de Sitter space itself is also obtained.

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