Very Early Universe
a.k.a. Quantum and Inflationary Cosmology

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Decoherence of vacuum fluctuations in inflationary phase
Decoherence and Foundations of Stochastic Inflation

Decoherence of vacuum fluctuations in inflationary phase: a process through which these fluctuations become a (source of) classical density perturbations which seed galaxies in more recent times. The following publications treat this transition through paradigm of particle production in expanding universe. The main physical mechanism is that the occupation number for massless and low mass modes diverges as the physical wavelength of these modes exceeds Hubble radius, making those modes effectively classical. The occupation number of heavy modes remains oscillatory and bounded by unity, despite the continuous particle production and the increase in physical wavelength beyond the Hubble radius.

Decoherence and Foundations of Stochastic Inflation. The following publication derives classical, Langevin equation for massless and low mass coarse-grained fields in the de Sitter space through quantization rules in the Schroedinger picture. In both cases the wave function is found to have a negligible width, while its center performs a random walk on the bundle of classical trajctories:
 
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