Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Local correlation among the chiral condensate, monopoles, and color
  magnetic fields in Abelian projected QCD   Using the lattice gauge field theory, we study the relation among the local
chiral condensate, monopoles, and color magnetic fields in quantum
chromodynamics (QCD). First, we investigate idealized Abelian gauge systems of
1) a static monopole-antimonopole pair and 2) a magnetic flux without
monopoles, on a four-dimensional Euclidean lattice. In these systems, we
calculate the local chiral condensate on quasi-massless fermions coupled to the
Abelian gauge field, and find that the chiral condensate is localized in the
vicinity of the magnetic field. Second, using SU(3) lattice QCD Monte Carlo
calculations, we investigate Abelian projected QCD in the maximally Abelian
gauge, and find clear correlation of distribution similarity among the local
chiral condensate, monopoles, and color magnetic fields in the Abelianized
gauge configuration. As a statistical indicator, we measure the correlation
coefficient $r$, and find a strong positive correlation of $r \simeq 0.8$
between the local chiral condensate and an Euclidean color-magnetic quantity
${\cal F}$ in Abelian projected QCD. The correlation is also investigated for
the deconfined phase in thermal QCD. As an interesting conjecture, like
magnetic catalysis, the chiral condensate is locally enhanced by the strong
color-magnetic field around the monopoles in QCD.

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The categories of this paper are: quant-ph
33
The categories of this paper are: plasm-ph
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The categories of this paper are: math-ph
31
The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph
1
The categories of this paper are: cs
32
The categories of this paper are: atom-ph
3
The categories of this paper are: physics
21
The categories of this paper are: adap-org
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The categories of this paper are: dg-ga
4
The categories of this paper are: cond-mat
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The categories of this paper are: funct-an
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The categories of this paper are: alg-geom
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The categories of this paper are: bayes-an
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The categories of this paper are: stat
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The categories of this paper are: acc-phys