Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spin polarized phases in strongly interacting matter: interplay between
  axial-vector and tensor mean fields   The spontaneous spin polarization of strongly interacting matter due to
axial-vector and tensor type interactions is studied at zero temperature and
high baryon-number densities. We start with the mean-field Lagrangian for the
axial-vector and tensor interaction channels, and find in the chiral limit that
the spin polarization due to the tensor mean field ($U$) takes place first as
the density increases for sufficiently strong coupling constants, and then that
due to the axial-vector mean field ($A$) emerges in the region of finite tensor
mean field. This can be understood that making the axial-vector mean field
finite requires a broken chiral symmetry somehow, which is achieved by the
finite tensor mean field in the present case. It is also found from symmetry
argument that there appear the type I (II) Nambu-Goldstone modes with a linear
(quadratic) dispersion in the spin polarized phase with $U\neq0$ and $A=0$
($U\neq0$ and $A\neq0$), although these two phases exhibit the same symmetry
breaking pattern.

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The categories of this paper are: cond-mat
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The categories of this paper are: hep-ex
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The categories of this paper are: q-bio
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The categories of this paper are: math
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The categories of this paper are: patt-sol
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The categories of this paper are: dg-ga
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The categories of this paper are: comp-gas
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The categories of this paper are: nucl-ex
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The categories of this paper are: mtrl-th
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The categories of this paper are: astro-ph
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The categories of this paper are: econ
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The categories of this paper are: hep-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: solv-int
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The categories of this paper are: hep-lat