Stochastic stage of an inflationary universe model

Details Stochastic stage of an inflationary universe model Stochastic stage of an inflationary universe model

Dec 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987stin...8913373n&link_type=abstract

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Mathematics

Classical Mechanics, Cosmology, Mathematical Models, Quantum Mechanics, Stochastic Processes, Universe, Equations Of Motion, Expansion, Hubble Constant, Scalars, Space-Time Functions

Scientific paper

Using the stochastic description of a scalar field on its phase space, we analyze the early stage of an inflationary universe model with Higgs-type potential. At this stage, quantum fluctuations play an important role for the dynamics of the scalar field as well as the classical potential force. We find that the velocity dispersion of the field (phi) becomes negligible within the Hubble timescale and the slow roll-over phase is realized, provided that (first derivative of phi sq) equal to or less than (V(phi)) initially. This supports the picture that inflation can set in for a wide class of pre-inflationary states, including thermal states, and the behavior of the scalar field is independent of such states. It also verifies the use of the slow roll-over approximation for most stages of the inflation.

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