Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A note on the Hamiltonian constraint in canonical GR   The Hamiltonian constraint of the coupled Einstein-Yang-Mills-Higgs system
with a cosmological constant is shown to be a pure Poisson bracket of a
dimensionless functional on the phase space and the volume of the three-space.
One of its potential consequences, a restriction on the eigenstates of the
volume operator in a class of canonical quantum gravity theories, is also
pointed out.

31
The categories of this paper are: ao-sci
30
The categories of this paper are: q-alg
36
The categories of this paper are: cmp-lg
18
The categories of this paper are: econ
35
The categories of this paper are: mtrl-th
6
The categories of this paper are: astro-ph
8
The categories of this paper are: hep-ex
32
The categories of this paper are: atom-ph
16
The categories of this paper are: stat
28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess
0
The categories of this paper are: hep-ph
29
The categories of this paper are: funct-an
22
The categories of this paper are: chao-dyn
13
The categories of this paper are: quant-ph
14
The categories of this paper are: math-ph