Cosmology with a decaying vacuum

Abstract

Properties of unstable false vacuum states are analyzed from the point of view of the quantum theory of unstable states. Some of false vacuum states survive up to times when their survival probability has a non-exponential form. At times much latter than the transition time, when contributions to the survival probability of its exponential and non-exponential parts are comparable, the survival probability as a function of time t has an inverse power-like form. We show that at this time region the instantaneous energy of the false vacuum states tends to the energy of the true vacuum state as $1/t^2$ for $t\to \infty$.

4 pages, 2 figures, based on a talk given at Multiverse and Fundamental Cosmology (Multicosmofun'12), Szczecin, Poland, 10-14 September 2012. arXiv admin note: text overlap with arXiv:1006.2417 by other authors

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