Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Scattering Cross-Sections in Quantum Gravity - the Case of Matter-Matter
  Scattering   Viewing gravitational energy-momentum as equal by observation, but different
in essence from inertial energy-momentum naturally leads to the gauge theory of
volume-preserving diffeormorphisms of a four-dimensional in- ner space. To
analyse scattering in this theory the gauge field is coupled to two Dirac
fields with different masses. Based on a generalized LSZ reduction formula the
S-matrix element for scattering of two Dirac particles in the gravitational
limit and the corresponding scattering cross-section are calculated to leading
order in perturbation theory. Taking the non-relativistic limit for one of the
initial particles in the rest frame of the other the Rutherford-like
cross-section of a non-relativistic particle scattering off an infinitely heavy
scatterer calculated quantum mechanically in Newtonian gravity is recovered.
This provides a non-trivial test of the gauge field theory of volume-preserving
diffeomorphisms as a quantum theory of gravity

31
The categories of this paper are: ao-sci
18
The categories of this paper are: econ
4
The categories of this paper are: cond-mat
15
The categories of this paper are: nucl-ex
24
The categories of this paper are: dg-ga
33
The categories of this paper are: plasm-ph
28
The categories of this paper are: alg-geom
23
The categories of this paper are: solv-int
1
The categories of this paper are: cs
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
21
The categories of this paper are: adap-org
19
The categories of this paper are: eess
6
The categories of this paper are: astro-ph
34
The categories of this paper are: chem-ph
8
The categories of this paper are: hep-ex