Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Correspondence between Thermal and Quantum Vacuum Transitions around
  Horizons   Recently, there are comparable revised interests in bubble nucleation seeded
by black holes. However, it is debated in the literature that whether one shall
interpret a static bounce solution in the Euclidean Schwarzschild spacetime
(with periodic Euclidean Schwarzschild time) as describing a false vacuum decay
at zero temperature or at finite temperature. In this paper, we show a
correspondence that the static bounce solution describes either a thermal
transition of vacuum in the static region outside of a Schwarzschild black hole
or a quantum transition in a maximally extended Kruskal-Szekeres spacetime,
corresponding to the viewpoint of the external static observers or the freely
falling observers, respectively. The Matsubara modes in the thermal
interpretation can be mapped to the circular harmonic modes from an $O(2)$
symmetry in the tunneling interpretation. The complementary tunneling
interpretation must be given in the Kruskal-Szekeres spacetime because of the
so-called thermofield dynamics. This correspondence is general for bubble
nucleation around horizons. We propose a new paradox related to black holes as
a consequence of this correspondence.

15
The categories of this paper are: nucl-ex
24
The categories of this paper are: dg-ga
17
The categories of this paper are: q-fin
29
The categories of this paper are: funct-an
21
The categories of this paper are: adap-org
33
The categories of this paper are: plasm-ph
32
The categories of this paper are: atom-ph
14
The categories of this paper are: math-ph
19
The categories of this paper are: eess
4
The categories of this paper are: cond-mat
36
The categories of this paper are: cmp-lg
31
The categories of this paper are: ao-sci
30
The categories of this paper are: q-alg
22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
10
The categories of this paper are: q-bio