Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Model prediction for temperature dependence of meson pole masses from
  lattice QCD results on meson screening masses   We propose a practical effective model by introducing temperature ($T$)
dependence to the coupling strengths of four-quark and six-quark
Kobayashi-Maskawa-'t Hooft interactions in the 2+1 flavor Polyakov-loop
extended Nambu-Jona-Lasinio model. The $T$ dependence is determined from LQCD
data on the renormalized chiral condensate around the pseudocritical
temperature $T_c^{\chi}$ of chiral crossover and the screening-mass difference
between $\pi$ and $a_0$ mesons in $T > 1.1T_c^\chi$ where only the $U(1)_{\rm
A}$-symmetry breaking survives. The model well reproduces LQCD data on
screening masses $M_{\xi}^{\rm scr}(T)$ for both scalar and pseudoscalar
mesons, particularly in $T \ge T_c^{\chi}$. Using this effective model, we
predict meson pole masses $M_{\xi}^{\rm pole}(T)$ for scalar and pseudoscalar
mesons. For $\eta'$ meson, the prediction is consistent with the experimental
value at finite $T$ measured in heavy-ion collisions. We point out that the
relation $M_{\xi}^{\rm scr}(T)-M_{\xi}^{\rm pole}(T) \approx M_{\xi'}^{\rm
scr}(T)-M_{\xi'}^{\rm pole}(T)$ is pretty good when $\xi$ and $\xi'$ are scalar
mesons, and show that the relation $M_{\xi}^{\rm scr}(T)/M_{\xi'}^{\rm scr}(T)
\approx M_{\xi}^{\rm pole}(T)/M_{\xi'}^{\rm pole}(T)$ is well satisfied within
20% error when $\xi$ and $\xi'$ are pseudoscalar mesons and also when $\xi$ and
$\xi'$ are scalar mesons.

17
The categories of this paper are: q-fin
32
The categories of this paper are: atom-ph
29
The categories of this paper are: funct-an
25
The categories of this paper are: patt-sol
18
The categories of this paper are: econ
1
The categories of this paper are: cs
37
The categories of this paper are: supr-con
20
The categories of this paper are: acc-phys
27
The categories of this paper are: comp-gas
28
The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
30
The categories of this paper are: q-alg
36
The categories of this paper are: cmp-lg
5
The categories of this paper are: gr-qc
6
The categories of this paper are: astro-ph
3
The categories of this paper are: physics