Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Constituent quark-based linear $\sigma$ model (L$\sigma$M) quark and
  scalar mesons, vector meson dominance   After describing the SU(2) linear sigma model (L$\sigma$M), we dynamically
generate it using the B.W. Lee null tadpole sum (characterizing the true
vacuum) together with the dimensional regularization lemma. Next we generate
the chiral-limiting (CL) nonstrange and strange constituent quark masses ${\hat
m}=325.7$ MeV; $m_s=486$ MeV away from the CL. Finally, we study vector meson
dominance (VMD) and the pion, kaon charge radii and the loop-order
$\rho\to\pi\gamma$, $\pi^0\to\gamma\gamma$ amplitudes in the quark model.
Lastly, we verify this procedure using tree-order VMD graphs.

27
The categories of this paper are: comp-gas
10
The categories of this paper are: q-bio
2
The categories of this paper are: math
34
The categories of this paper are: chem-ph
11
The categories of this paper are: hep-lat
24
The categories of this paper are: dg-ga
8
The categories of this paper are: hep-ex
5
The categories of this paper are: gr-qc
29
The categories of this paper are: funct-an
31
The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg
30
The categories of this paper are: q-alg
13
The categories of this paper are: quant-ph
7
The categories of this paper are: hep-th
19
The categories of this paper are: eess
28
The categories of this paper are: alg-geom