Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-perturbative corrections to the one-loop free energy induced by a
  massive scalar field on a stationary slowly varying in space gravitational
  background   The explicit expressions for the one-loop non-perturbative corrections to the
gravitational effective action induced by a scalar field on a stationary
gravitational background are obtained both at zero and finite temperatures. The
perturbative and non-perturbative contributions to the one-loop effective
action are explicitly separated. It is proved that, after a suitable
renormalization, the perturbative part of the effective action at zero
temperature can be expressed in a covariant form solely in terms of the metric
and its derivatives. This part coincides with the known large mass expansion of
the one-loop effective action. The non-perturbative part of the renormalized
one-loop effective action at zero temperature is proved to depend explicitly on
the Killing vector defining the vacuum state of quantum fields. This part
cannot be expressed in a covariant way through the metric and its derivatives
alone. The implications of this result for the structure and symmetries of the
effective action for gravity are discussed.

26
The categories of this paper are: bayes-an
9
The categories of this paper are: nlin
12
The categories of this paper are: nucl-th
29
The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
23
The categories of this paper are: solv-int
36
The categories of this paper are: cmp-lg
11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom
34
The categories of this paper are: chem-ph
27
The categories of this paper are: comp-gas
17
The categories of this paper are: q-fin