Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A criterion for bubble formation in de Sitter universe   The influence of the shape of scalar field potential on the outcome of vacuum
decay in de Sitter universe is studied. Sufficient condition for vacuum decay
via bubble formation, described by Coleman - de Luccia instanton, is revisited
and necessary condition is found. Both conditions require that the curvature of
the potential is greater than 4 $\times$ (Hubble constant)$^2$, but while the
sufficient condition states that this inequality is to be valid at the top of
the barrier, the necessary condition requires that it holds at least somewhere
throughout the barrier. The conditions leave a 'grey zone' in parameter space,
which however seems to be forbidden for quartic potential as well as for
quadratic potential with a narrow peak proposed by Linde in the context of open
inflation.

34
The categories of this paper are: chem-ph
13
The categories of this paper are: quant-ph
19
The categories of this paper are: eess
2
The categories of this paper are: math
33
The categories of this paper are: plasm-ph
35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
8
The categories of this paper are: hep-ex
7
The categories of this paper are: hep-th
32
The categories of this paper are: atom-ph
18
The categories of this paper are: econ
23
The categories of this paper are: solv-int
25
The categories of this paper are: patt-sol
37
The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an
15
The categories of this paper are: nucl-ex