Decoherence in quantum cosmology at the onset of inflation

Details Decoherence in quantum cosmology at the onset of inflation Decoherence in quantum cosmology at the onset of inflation

1998-12-12

arxiv.org/abs/gr-qc/9812043v1

Nucl.Phys. B551 (1999) 374-396

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

LATEX, 26 pages

Scientific paper

10.1016/S0550-3213(99)00208-4

We calculate the reduced density matrix for the inflaton field in a model of chaotic inflation by tracing out degrees of freedom corresponding to various bosonic fields. We find a qualitatively new contribution to the density matrix given by the Euclidean effective action of quantum fields. We regularise the ultraviolet divergences in the decoherence factor. Dimensional regularisation is shown to violate the consistency conditions for a density matrix as a bounded operator. A physically motivated conformal redefinition of the environmental fields leads to well-defined expressions. They show that due to bosonic fields the Universe acquires classical properties near the onset of inflation.

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