Derivation of a Langevin equation for the inflation field by means of a time-coarse-graining procedure

Physics

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Scientific paper

The stochastic approach in the new inflationary universe model is re-examined. First, a Langevin equation for a stochastic process of the Ornstein-Uhlenbeck-non-Markov-type is obtained from the equation of motion for the inflation field. Then, by a time-coarse-graining procedure, we derive a Langevin equation for a stochastic process of the Wiener-Markov-type. The time-coarse-graining procedure gives a new Wiener-Markov-type Langevin equation.

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