Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dualities in dense quark matter with isospin, chiral and chiral isospin
  imbalance in the framework of the large-N$_{c}$ limit of the NJL$_{4}$ model   In this paper the phase structure of the dense quark matter has been
investigated in the presence of baryon ${\mu}_B$, isospin ${\mu}_I$, chiral
${\mu}_{5}$ and chiral isospin ${\mu}_{I5}$ chemical potentials in the
framework of Nambu--Jona-Lasinio model. It has been shown that in the
large-$N_{c}$ limit ($N_{c}$ is the number of quark colours) there exist three
duality correspondences in the model. The first duality is between the chiral
symmetry breaking and the charged pion condensation phenomena. And there are
two new dualities that hold only for chiral symmetry breaking and charged pion
condensation phenomena separately. It was shown that at nonzero chiral
${\mu}_{5}$ chemical potential chiral isospin ${\mu}_{I5}$ chemical potential
can generate charged pion condensation in dense quark matter even with zero
${\mu}_{I}$. But ${\mu}_{5}$ alone (in absence of ${\mu}_{I5}$ chemical
potential) can generate this phase but not as powerfully as ${\mu}_{I5}$ does
and only at comparatively low baryon densities.

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The categories of this paper are: nucl-ex
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The categories of this paper are: dg-ga
32
The categories of this paper are: atom-ph
18
The categories of this paper are: econ
27
The categories of this paper are: comp-gas
10
The categories of this paper are: q-bio
33
The categories of this paper are: plasm-ph
30
The categories of this paper are: q-alg
20
The categories of this paper are: acc-phys
21
The categories of this paper are: adap-org
12
The categories of this paper are: nucl-th
14
The categories of this paper are: math-ph
5
The categories of this paper are: gr-qc
3
The categories of this paper are: physics
1
The categories of this paper are: cs
29
The categories of this paper are: funct-an