Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: One-loop divergences for $f(R)$ gravity   We calculate the divergent part of the one-loop effective action for $f(R)$
gravity on an arbitrary background manifold. Our result generalizes previous
results for quantum corrections in $f(R)$ gravity, which have been limited to
spaces of constant curvature. We discuss a new technical aspect connected to
operators with degenerate principal symbol. Our result has important
applications in cosmology and allows to study the quantum equivalence between
$f(R)$ theories and scalar-tensor theories.

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The categories of this paper are: alg-geom
8
The categories of this paper are: hep-ex
3
The categories of this paper are: physics
6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex
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The categories of this paper are: chao-dyn
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The categories of this paper are: dg-ga
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The categories of this paper are: cmp-lg
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The categories of this paper are: bayes-an
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The categories of this paper are: comp-gas
4
The categories of this paper are: cond-mat
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The categories of this paper are: adap-org
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The categories of this paper are: eess
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The categories of this paper are: econ
25
The categories of this paper are: patt-sol
11
The categories of this paper are: hep-lat