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arxiv: gr-qc/0412069 · v1 · submitted 2004-12-15 · 🌀 gr-qc

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Influence functional approach to decoherence during Inflation

Fernando C. Lombardo
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classification 🌀 gr-qc
keywords modesdecoherenceduringfunctionalinflationinfluencesystem-fieldapproach
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We show how the quantum to classical transition of the cosmological fluctuations produced during inflation can be described by means of the influence functional and the master equation. We split the inflaton field into the system-field (long-wavelength modes), and the environment, represented by its own short-wavelength modes. We compute the decoherence times for the system-field modes and compare them with the other time scales of the model.

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    A generalized Fokker-Planck equation for stochastic inflation is derived from a Polchinski-type renormalization group flow on the density matrix, incorporating dissipative and diffusive corrections beyond the leading order.