Scalar field fluctuations in the early universe |
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| Affiliation: | 1. University of Natural Resources and Life Sciences, BOKU, Peter Jordan Str. 82, 1190, Vienna, Austria;2. Natural Resources Institute, LUKE, Viikinkari 4, FI-00790 Helsinki, Finland;3. Reforesting Scotland, 39 Corstorphine Hill Avenue, Edinburgh EH12 6LF, Scotland, United Kingdom;4. Foreco Technologies S.L., Av. Diagonal, 416, 08037 Barcelona, Catalonia, Spain;5. Llais y Goedwig, Unit 6 Dyfi Eco Parc, Machynlleth, Powys SY20 8AX, Wales, United Kingdom;1. Department of Chemistry, Oakland University, Rochester, MI, 48309, USA;2. Environmental Sciences Division, Oak Ridge National Laboratory, Oak Ridge, TN, 37831, USA;3. College of Resources and Environment, Huazhong Agricultural University, Wuhan, 430070, China;4. Biosciences Division, Oak Ridge National Laboratory, Oak Ridge, TN, 37831, USA |
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| Abstract: | We compute the quantum fluctuations of a non-self-interacting but unstable scalar field of arbitrary mass during the period of inflation. Instead of treating the scalar field in a static De Sitter space, we begin with a scalar field in the Friedmann universe just before the start of inflation, and work out the dynamics of the growing quantum fluctuation of the field after it has entered into the inflationary epoch. We use the physically sensible method of Vilenkin to regularize the theory. We find that in all but two special cases the fluctuations produced are different from those in a static De Sitter space, and the effect of the finite width of the scalar field limits the growth of fluctuations. |
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