Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A numerical study of spectral properties of the area operator in loop
  quantum gravity   The lowest 37000 eigenvalues of the area operator in loop quantum gravity is
calculated and studied numerically. We obtain an asymptotical formula for the
eigenvalues as a function of their sequential number. The multiplicity of the
lowest few hundred eigenvalues is also determined and the smoothed spectral
density is calculated. The spectral density is presented for various number of
vertices, edges and SU(2) representations. A scaling form of spectral density
is found, being a power law for one vertex, while following an exponential for
several vertices. The latter case is explained on the basis of the one vertex
spectral density.

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The categories of this paper are: hep-ph
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
10
The categories of this paper are: q-bio
17
The categories of this paper are: q-fin
27
The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
18
The categories of this paper are: econ
35
The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
26
The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex
16
The categories of this paper are: stat
33
The categories of this paper are: plasm-ph
3
The categories of this paper are: physics
1
The categories of this paper are: cs