Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Importance of Asymptotic Freedom for the Pseudocritical Temperature
  in Magnetized Quark Matter   Although asymptotic freedom is an essential feature of QCD, it is absent in
effective chiral quark models like the Nambu--Jona-Lasinio and linear sigma
models. In this work we advocate that asymptotic freedom plays a key role in
the recently observed discrepancies between results of lattice QCD simulations
and quark models regarding the behavior of the pseudocritical temperature
$T_{\rm pc}$ for chiral symmetry restoration in the presence of a magnetic
field $B$. We show that the lattice predictions that $T_{\rm pc}$ decreases
with $B$ can be reproduced within the Nambu--Jona-Lasinio model if the coupling
constant $G$ of the model decreases with $B$ and the temperature. Without
aiming at numerical precision, we support our claim by considering a simple
ansatz for $G$ that mimics the asymptotic freedom behavior of the QCD coupling
constant $1/\alpha_s \sim \ln (eB/\Lambda^2_{QCD})$ for large values of $B$.

30
The categories of this paper are: q-alg
7
The categories of this paper are: hep-th
24
The categories of this paper are: dg-ga
21
The categories of this paper are: adap-org
35
The categories of this paper are: mtrl-th
13
The categories of this paper are: quant-ph
31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
37
The categories of this paper are: supr-con
16
The categories of this paper are: stat
34
The categories of this paper are: chem-ph
8
The categories of this paper are: hep-ex
20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
28
The categories of this paper are: alg-geom
17
The categories of this paper are: q-fin