Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nambu-Jona-Lasinio model description of weakly interacting Bose
  condensate and BEC-BCS crossover in dense QCD-like theories   QCD-like theories possess a positively definite fermion determinant at finite
baryon chemical potential $\mu_{\text B}$ and the lattice simulation can be
successfully performed. While the chiral perturbation theories are sufficient
to describe the Bose condensate at low density, to describe the crossover from
Bose-Einstein condensation (BEC) to BCS superfluidity at moderate density we
should use some fermionic effective model of QCD, such as the
Nambu-Jona-Lasinio model. In this paper, using two-color two-flavor QCD as an
example, we examine how the Nambu-Jona-Lasinio model describes the weakly
interacting Bose condensate at low density and the BEC-BCS crossover at
moderate density. Near the quantum phase transition point $\mu_{\text B}=m_\pi$
($m_\pi$ is the mass of pion/diquark multiplet), the Ginzburg-Landau free
energy at the mean-field level can be reduced to the Gross-Pitaevskii free
energy describing a weakly repulsive Bose condensate with a diquark-diquark
scattering length identical to that predicted by the chiral perturbation
theories. The Goldstone mode recovers the Bogoliubov excitation in weakly
interacting Bose condensates. The results of in-medium chiral and diquark
condensates predicted by chiral perturbation theories are analytically
recovered. The BEC-BCS crossover and meson Mott transition at moderate baryon
chemical potential as well as the beyond-mean-field corrections are studied.
Part of our results can also be applied to real QCD at finite baryon or isospin
chemical potential.

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The categories of this paper are: astro-ph
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The categories of this paper are: solv-int
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The categories of this paper are: dg-ga
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The categories of this paper are: patt-sol
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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-th
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The categories of this paper are: supr-con
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The categories of this paper are: econ
33
The categories of this paper are: plasm-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: acc-phys
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The categories of this paper are: chao-dyn
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The categories of this paper are: ao-sci
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The categories of this paper are: eess
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The categories of this paper are: comp-gas
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The categories of this paper are: nlin