Classical behavior of a scalar field in the inflationary universe

Details Classical behavior of a scalar field in the inflationary universe Classical behavior of a scalar field in the inflationary universe

Oct 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988nuphb.308..868s&link_type=abstract

Nuclear Physics B, Volume 308, Issue 4, p. 868-884.

Physics

Nuclear Physics

48

Scientific paper

Extending the coarse-graining approach of Starobinsky, we formulate a theory to deal with the dynamics of a scalar field in inflationary universe models. We find a set of classical Langevin equations which describes the large-scale behavior of the scalar field. The corresponding Fokker-Planck equation is also derived which is defined on the phase space of the scalar field. We show that our theory is essentially equivalent to the one-loop field theory in de Sitter space and reduces to that of Starobinsky in a strong limit of the slow roll-over condition. Analysis of a simple Higgs-potential model is done and the implications are discussed.

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