Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Chiral Symmetry Breaking and Chiral Polarization: Tests for Finite
  Temperature and Many Flavors   It was recently conjectured that, in SU(3) gauge theories with fundamental
quarks, valence spontaneous chiral symmetry breaking is equivalent to
condensation of local dynamical chirality and appearance of chiral polarization
scale $\Lambda_{ch}$. Here we consider more general association involving the
low-energy layer of chirally polarized modes which, in addition to its width
($\Lambda_{ch}$), is also characterized by volume density of participating
modes ($\Omega$) and the volume density of total chirality ($\Omega_{ch}$). Few
possible forms of the correspondence are discussed, paying particular attention
to singular cases where $\Omega$ emerges as the most versatile characteristic.
The notion of finite-volume "order parameter", capturing the nature of these
connections, is proposed. We study the effects of temperature (in N$_f$=0 QCD)
and light quarks (in N$_f$=12), both in the regime of possible symmetry
restoration, and find agreement with these ideas. In N$_f$=0 QCD, results from
several volumes indicate that, at the lattice cutoff studied, the deconfinement
temperature $T_c$ is strictly smaller than the overlap-valence chiral
transition temperature $T_{ch}$ in real Polyakov line vacuum. Somewhat similar
intermediate phase (in quark mass) is also seen in N$_f$=12. It is suggested
that deconfinement in N$_f$=0 is related to indefinite convexity of absolute
X-distributions.

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The categories of this paper are: q-alg
13
The categories of this paper are: quant-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: funct-an
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The categories of this paper are: supr-con
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-ex
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The categories of this paper are: chao-dyn
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The categories of this paper are: dg-ga
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The categories of this paper are: chem-ph
2
The categories of this paper are: math
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The categories of this paper are: cmp-lg
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The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
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The categories of this paper are: econ
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The categories of this paper are: eess