Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Cosmology with a decaying vacuum   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 $t \to \infty$.

17
The categories of this paper are: q-fin
12
The categories of this paper are: nucl-th
24
The categories of this paper are: dg-ga
35
The categories of this paper are: mtrl-th
33
The categories of this paper are: plasm-ph
31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
2
The categories of this paper are: math
27
The categories of this paper are: comp-gas
32
The categories of this paper are: atom-ph
36
The categories of this paper are: cmp-lg
28
The categories of this paper are: alg-geom
9
The categories of this paper are: nlin
18
The categories of this paper are: econ
4
The categories of this paper are: cond-mat
8
The categories of this paper are: hep-ex