Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Skyrmions with vector mesons in the hidden local symmetry approach   The roles of light $\rho$ and $\omega$ vector mesons in the Skyrmion are
investigated in a chiral Lagrangian derived from the hidden local symmetry
(HLS) up to $O(p^4)$ including the homogeneous Wess-Zumino (hWZ) terms. We
write a general "master formula" that allows us to determine the parameters of
the HLS Lagrangian from a class of holographic QCD models valid at large $N_c$
and $\lambda$ ('t Hooft constant) limit by integrating out the infinite towers
of vector and axial-vector mesons other than the lowest $\rho$ and $\omega$
mesons. Within this approach we find that the physical properties of the
Skyrmion as the solitonic description of baryons are \textit{independent} of
the HLS parameter $a$. Therefore the only parameters of the model are the pion
decay constant and the vector meson mass. Once determined in the meson sector,
we have a totally parameter-free theory that allows us to study unequivocally
the role of light vector mesons in the Skyrmion structure. We find, as
suggested by Sutcliffe, that inclusion of the $\rho$ meson reduces the soliton
mass, which makes the Skyrmion come closer to the
Bogomol'nyi-Prasad-Sommerfield (BPS) soliton, but the role of the $\omega$
meson is found to increase the soliton mass. In a stark contrast, the
$\Delta$-$N$ mass difference, which is determined by the moment of inertia in
adiabatic collective quantization of the Skyrmion, is increased by the $\rho$
vector meson, while it is reduced by the inclusion of the $\omega$ meson. All
these observations show the importance of the $\omega$ meson in the properties
of the nucleon and nuclear matter in the Skyrme model.

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The categories of this paper are: cond-mat
30
The categories of this paper are: q-alg
37
The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
2
The categories of this paper are: math
13
The categories of this paper are: quant-ph
35
The categories of this paper are: mtrl-th
26
The categories of this paper are: bayes-an
9
The categories of this paper are: nlin
5
The categories of this paper are: gr-qc
29
The categories of this paper are: funct-an
22
The categories of this paper are: chao-dyn
17
The categories of this paper are: q-fin
1
The categories of this paper are: cs
27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci