Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Renormalized vacuum polarization of rotating black holes   Quantum field theory on rotating black hole spacetimes is plagued with
technical difficulties. Here, we describe a general method to renormalize and
compute the vacuum polarization of a quantum field in the Hartle-Hawking state
on rotating black holes. We exemplify the technique with a massive scalar field
on the warped AdS3 black hole solution to topologically massive gravity, a
deformation of (2+1)-dimensional Einstein gravity. We use a "quasi-Euclidean"
technique, which generalizes the Euclidean techniques used for static
spacetimes, and we subtract the divergences by matching to a sum over mode
solutions on Minkowski spacetime. This allows us, for the first time, to have a
general method to compute the renormalized vacuum polarization (and, more
importantly, the renormalized stress-energy tensor), for a given quantum state,
on a rotating black hole, such as the physically relevant case of the Kerr
black hole in four dimensions.

30
The categories of this paper are: q-alg
29
The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom
37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
16
The categories of this paper are: stat
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The categories of this paper are: q-fin
1
The categories of this paper are: cs
2
The categories of this paper are: math
7
The categories of this paper are: hep-th
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The categories of this paper are: cmp-lg
11
The categories of this paper are: hep-lat
21
The categories of this paper are: adap-org
8
The categories of this paper are: hep-ex
25
The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph