Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An effective stochastic semiclassical theory for the gravitational field   Assuming that the mechanism proposed by Gell-Mann and Hartle works as a
mechanism for decoherence and classicalization of the metric field, we formally
derive the form of an effective theory for the gravitational field in a
semiclassical regime. This effective theory takes the form of the usual
semiclassical theory of gravity, based on the semiclassical Einstein equation,
plus a stochastic correction which accounts for the back reaction of the lowest
order matter stress-energy fluctuations.

19
The categories of this paper are: eess
32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs
13
The categories of this paper are: quant-ph
37
The categories of this paper are: supr-con
17
The categories of this paper are: q-fin
0
The categories of this paper are: hep-ph
8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom
24
The categories of this paper are: dg-ga
15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ
16
The categories of this paper are: stat