Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Vacuum Polarization of Massive Scalar Fields on the Black Hole Horizon   Vacuum polarization of massive scalar fields in a thermal state at arbitrary
temperature is studied near the horizon of a Reissner-Nordstr\"{o}m black hole.
We derived an analytic form of $<\phi^2>$ approximately in the large mass limit
near the black hole horizon. We uses the zeroth order WKB approximation and
power series expansion near the horizon for the Euclideanized mode function.
Our formula for the vacuum polarization shows regular behavior on the horizon
if the temperature of the scalar field is equal to the Hawking temperature of
the black hole. The finite part of the vacuum polarization agrees with the
result of the DeWitt-Schwinger approximation up to $O(m^{-4})$ which is the
next leading order of the expansion.

27
The categories of this paper are: comp-gas
16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
9
The categories of this paper are: nlin
37
The categories of this paper are: supr-con
19
The categories of this paper are: eess
10
The categories of this paper are: q-bio
32
The categories of this paper are: atom-ph
13
The categories of this paper are: quant-ph
15
The categories of this paper are: nucl-ex
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The categories of this paper are: econ
11
The categories of this paper are: hep-lat
8
The categories of this paper are: hep-ex
23
The categories of this paper are: solv-int
1
The categories of this paper are: cs
20
The categories of this paper are: acc-phys