Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: III - Conservation of Gravitational Energy Momentum and Renormalizable
  Quantum Theory of Gravitation   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 an inner Minkowski space which can
describe gravitation at the classical level. This theory is quantized in the
path integral formalism starting with a non-covariant Hamiltonian formulation
with unconstrained canonical field variables and a manifestly positive
Hamiltonian. The relevant path integral measure and weight are then brought
into a Lorentz- and gauge-covariant form allowing to express correlation
functions - applying the De Witt-Faddeev-Popov approach - in any meaningful
gauge. Next the Feynman rules are developed and the quantum effective action at
one loop in a background field approach is renormalized which results in an
asymptotically free theory without presence of other fields and in a theory
without asymptotic freedom including the Standard Model (SM) fields. Finally
the BRST apparatus is developed as preparation for the renormalizability proof
to all orders and a sketch of this proof is given.

4
The categories of this paper are: cond-mat
19
The categories of this paper are: eess
7
The categories of this paper are: hep-th
33
The categories of this paper are: plasm-ph
32
The categories of this paper are: atom-ph
6
The categories of this paper are: astro-ph
25
The categories of this paper are: patt-sol
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
9
The categories of this paper are: nlin
13
The categories of this paper are: quant-ph
8
The categories of this paper are: hep-ex
1
The categories of this paper are: cs
37
The categories of this paper are: supr-con
10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg