Phys. Rev. D 54, 7172–7180 (1996)Stochastic approach to inflation: Classicality conditionsReceived 25 March 1996; published in the issue dated 15 December 1996 The stochastic approach to inflation relies on one key assumption, the emergence of a long-wave classical field that drives the inflation and is subject to a shortwave classical noise. In this work we consider explicitly the potential that acts on the inflaton field, and analyze classicality conditions that must be satisfied to have an effective classical stochastic approach. When these hold, the dynamics is given by a two-dimensional classical Fokker-Planck equation. We develop some examples, already widely considered in different approaches, and find a very suggestive result, which is the damping of the quantum fluctuations by the effect of the inflaton interaction potential. © 1996 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.54.7172
DOI:
10.1103/PhysRevD.54.7172
PACS:
98.80.Cq, 04.62.+v
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