Coarse-grained field wave function in stochastic inflation

Details Coarse-grained field wave function in stochastic inflation Coarse-grained field wave function in stochastic inflation

2000-12-05

arxiv.org/abs/gr-qc/0012021v4

Nucl.Phys. B604 (2001) 441-451

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

to appear in Nuclear Physics B (version with some changes and some references added)

Scientific paper

10.1016/S0550-3213(01)00196-1

The wave function for the matter field fluctuations in the infrared sector is studied within the framework of inflationary cosmology. These fluctuations are described by a coarse-grained field which takes into account only the modes with wavelength much bigger than the size of the Hubble horizon. The case of a power-law expanding universe is considered and it is found that the relevant phase-space remains coherent under certain circumstances. In this case the classical stochastic treatment for matter field fluctuations is not valid, however, for $p > 4.6$, the system loses its coherence and a classical stochastic approximation is allowed.

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