Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A phase transition model for metric fluctuations in vacuum   Regarding metric fluctuations as generating {\it roughness} on the fabric of
the otherwise smooth vacuum, it is shown that in its simplest form, the effect
can be described by the scalar $\phi^4$ model. The model exhibits a second
order phase transition between a smooth (low-temperature) phase and a rough
(high-temperature) one, corroborating the absence of metric fluctuations at low
energies. In the rough phase near the critical point, vacuum is characterized
by a power-law behavior for the fluctuating field with critical exponent $\beta
\approx 0.33$.

8
The categories of this paper are: hep-ex
12
The categories of this paper are: nucl-th
19
The categories of this paper are: eess
33
The categories of this paper are: plasm-ph
15
The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
26
The categories of this paper are: bayes-an
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
25
The categories of this paper are: patt-sol
16
The categories of this paper are: stat
31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom
20
The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con
17
The categories of this paper are: q-fin