Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Unified model of loop quantum gravity and matter   We reconsider the unified model of gravitation and Yang--Mills interactions
proposed by Chakraborty and Peld\'an, in the light of recent formal
developments in loop quantum gravity. In particular, we show that one can
promote the Hamiltonian constraint of the unified model to a well defined
anomaly-free quantum operator using the techniques introduced by Thiemann, at
least for the Euclidean theory. The Lorentzian version of the model can be
consistently constructed, but at the moment appears to yield a correct weak
field theory only under restrictive assumptions, and its quantization appears
problematic.

7
The categories of this paper are: hep-th
28
The categories of this paper are: alg-geom
3
The categories of this paper are: physics
16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
17
The categories of this paper are: q-fin
14
The categories of this paper are: math-ph
10
The categories of this paper are: q-bio
24
The categories of this paper are: dg-ga
34
The categories of this paper are: chem-ph
23
The categories of this paper are: solv-int
12
The categories of this paper are: nucl-th
11
The categories of this paper are: hep-lat
20
The categories of this paper are: acc-phys
26
The categories of this paper are: bayes-an
29
The categories of this paper are: funct-an