Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Vortex on a non-commutative torus in the dual superconductivity model: a
  link between a cyclic $\tau\subset U(1)$, the color-electric charge of quarks
  and the vortex mass   The model of dual superconductivity has been revisited considering the
$U(1)$-gauged Ginzburg-Landau lagrangian density on a non-commutative torus
$T^{2}_{NC}$, according to a new approach, we propose, in dealing with
non-commutative space coordinates ($[\hat{x},\hat{y}]=i\theta$). This led to
consider a different set of the twist matrices $\Omega_{\mu}$ relative to
$T^{2}_{NC}$, since the corrisponding set, adopted in previous works, has
resulted to be incompatible with the homogeneity of $T^{2}_{NC}$. We have also
found that the index labelling the twists $n\in\mathbb{Z}$ no longer has the
usual physical role. In fact, the energy, suitably rewritten, of the minimum
configurations at the point of Bogomolny and the quark color-electric charge
$q_{e}$ depend on
$r_{\theta}=\theta_{C}/\theta_{NC}\in\mathbb{Q}\setminus\{0\}$, where
$\theta_{C}$ ($\theta_{NC}$) is the parameter that characterizes the
commutative torus $T^{2}_{C}$ ($T^{2}_{NC}$): here $T^{2}_{C}$ is not
characterized only by a $\theta$ null. The quantity $r_{\theta}$ was then found
to determine the order of a cyclic subgroup of $U(1)$ generated by
$e^{i\pi\theta_{NC}}$. Therefore here $q_{e}$ can also be a fraction as well as
a multiple of $g^{-1}$, where $g$ is the magnetic charge of the scalar field.
Furthermore, the above energy was calculated only considering a class of the
twisted boundary conditions solutions without solving, as usual, any system of
equations such as the BPS. Another novelty is the presence of a double Higgs
mechanism regulated by $r_{\theta}$. In this regard, it predicts, in general, a
non null mass for the usual massless Goldstone boson and establishes a relation
between the mass spectrum and $r_{\theta}$ according to which a variation over
time of $r_{\theta}$ involves a quantized variation in time of such masses that
will be null when $r_{\theta}$ assumes values outside a certain interval of
values.

8
The categories of this paper are: hep-ex
19
The categories of this paper are: eess
23
The categories of this paper are: solv-int
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an
12
The categories of this paper are: nucl-th
11
The categories of this paper are: hep-lat
10
The categories of this paper are: q-bio
24
The categories of this paper are: dg-ga
22
The categories of this paper are: chao-dyn
32
The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys
33
The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org
1
The categories of this paper are: cs