Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Microscopic Picture of Non-Relativistic Classicalons   A theory of a non-relativistic, complex scalar field with derivatively
coupled interaction terms is investigated. This toy model is considered as a
prototype of a classicalizing theory and in particular of general relativity,
for which the black hole constitutes a prominent example of a classicalon.
Accordingly, the theory allows for a non-trivial solution of the stationary
Gross-Pitaevskii equation corresponding to a black hole in the case of GR.
Quantum fluctuations on this classical background are investigated within the
Bogoliubov approximation. It turns out that the perturbative approach is
invalidated by a high occupation of the Bogoliubov modes. Recently, it was
proposed that a black hole is a Bose-Einstein condensate of gravitons that
dynamically ensures to stay at the verge of a quantum phase transition. Our
result is understood as an indication for that claim. Furthermore, it motivates
a non-linear numerical analysis of the model.

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The categories of this paper are: physics
24
The categories of this paper are: dg-ga
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The categories of this paper are: nlin
1
The categories of this paper are: cs
19
The categories of this paper are: eess
2
The categories of this paper are: math
36
The categories of this paper are: cmp-lg
32
The categories of this paper are: atom-ph
18
The categories of this paper are: econ
28
The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol
13
The categories of this paper are: quant-ph
37
The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci
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The categories of this paper are: chao-dyn
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The categories of this paper are: chem-ph