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Primordial density fluctuations

For potentials with an almost flat section the authors derive a general expression for the time evolution of energy density correlations inside the horizon, for an arbitrary quantum state. The particular case of the de Sitter invariant vacuum is studied in detail. At the horizon they find an energy contrast being one order of magnitude larger than usual estimates based on the Hawking temperature. The source for this contribution are quantum fluctuations at short distances. The authors also estimate the small corrector due to the time dependence of the Hubble constant.