Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Temperature Dependence of the Axion Mass in a Scenario Where the
  Restoration of Chiral Symmetry Drives the Restoration of the $U_A(1)$
  Symmetry   The temperature ($T$) dependence of the axion mass is predicted for $T$'s up
to $\sim 2.3 \times$ the chiral restoration temperature of QCD. The axion is
related to the $U_A(1)$ anomaly. The squared axion mass $m_a(T)^2$ is, modulo
the presently undetermined scale of spontaneous breaking of Peccei-Quinn
symmetry $f_a$ (squared), equal to QCD topological susceptibility $\chi(T)$ for
all $T$. We obtain $\chi(T)$ by using quark condensates calculated in two
effective Dyson-Schwinger models of nonperturbative QCD. They exhibit the
correct chiral behavior, including the dynamical breaking of chiral symmetry
and its restoration at high $T$. This is reflected in the $U_A(1)$ symmetry
breaking and restoration through $\chi(T)$. In our previous studies, such
$\chi(T)$ yields the $T$-dependence of the $U_A(1)$-anomaly-influenced masses
of $\eta'$ and $\eta$ mesons consistent with experiment. This in turn supports
our prediction for the $T$-dependence of the axion mass. Another support is a
rather good agreement with the pertinent lattice results. This agreement is not
spoiled by our varying $u$ and $d$ quark mass parameters out of the isospin
limit.

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The categories of this paper are: chao-dyn
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The categories of this paper are: econ
29
The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th
26
The categories of this paper are: bayes-an
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The categories of this paper are: patt-sol
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The categories of this paper are: eess
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The categories of this paper are: math-ph
32
The categories of this paper are: atom-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: adap-org
2
The categories of this paper are: math
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The categories of this paper are: dg-ga
34
The categories of this paper are: chem-ph
8
The categories of this paper are: hep-ex