Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: New Hamiltonian constraint operator for loop quantum gravity   A new symmetric Hamiltonian constraint operator is proposed for loop quantum
gravity, which is well defined in the Hilbert space of diffeomorphism invariant
states up to non-planar vertices with valence higher than three. It inherits
the advantage of the original regularization method, so that its regulated
version in the kinematical Hilbert space is diffeomorphism covariant and
creates new vertices to the spin networks. The quantum algebra of this
Hamiltonian is anomaly-free on shell, and there is less ambiguity in its
construction in comparison with the original method. The regularization
procedure for this Hamiltonian constraint operator can also be applied to the
symmetric model of loop quantum cosmology, which leads to a new quantum
dynamics of the cosmological model.

29
The categories of this paper are: funct-an
27
The categories of this paper are: comp-gas
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
12
The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph
16
The categories of this paper are: stat
1
The categories of this paper are: cs
11
The categories of this paper are: hep-lat
37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
24
The categories of this paper are: dg-ga
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
13
The categories of this paper are: quant-ph