Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Relating spin-foam to canonical loop quantum gravity by graphical
  calculus   The graphical calculus method is generalized to study the relation between
covariant and canonical dynamics of loop quantum gravity. On one hand, a
graphical derivation of the partition function of the generalized Euclidean
Engle-Pereira-Rovelli-Livine (EPRL) spin-foam model is presented. On the other
hand, the action of a Euclidean Hamiltonian constraint operator on certain spin
network states is calculated by graphical method. It turns out that the EPRL
model can provide a rigging map such that the Hamiltonian constraint operator
is weakly satisfied on certain physical states for the Immirzi parameter
$\beta=1$. In this sense, the quantum dynamics between the covariant and
canonical formulations are consistent to each other.

19
The categories of this paper are: eess
23
The categories of this paper are: solv-int
24
The categories of this paper are: dg-ga
3
The categories of this paper are: physics
14
The categories of this paper are: math-ph
12
The categories of this paper are: nucl-th
1
The categories of this paper are: cs
0
The categories of this paper are: hep-ph
9
The categories of this paper are: nlin
18
The categories of this paper are: econ
30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
11
The categories of this paper are: hep-lat
37
The categories of this paper are: supr-con