Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Towards quantitative precision in the chiral crossover: masses and
  fluctuation scales   We investigate the relation between the physical pion pole and screening
masses and the mesonic fluctuation scale in low-energy QCD, which relates to
the curvature of the mesonic effective potential. This relation is important
for the correct relative weight of quantum, thermal and density fluctuations.
Hence, it governs the location of phase boundaries as well as the phase
structure of QCD. The identification of the correct physics scales is also
primarily important for the correct adjustment of the parameters of effective
models for low-energy QCD. It is shown that subject to an appropriate
definition of the latter, all these scales agree at vanishing temperature,
while they deviate from each other at finite temperature.

30
The categories of this paper are: q-alg
14
The categories of this paper are: math-ph
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat
37
The categories of this paper are: supr-con
3
The categories of this paper are: physics
16
The categories of this paper are: stat
28
The categories of this paper are: alg-geom
29
The categories of this paper are: funct-an
8
The categories of this paper are: hep-ex
26
The categories of this paper are: bayes-an
24
The categories of this paper are: dg-ga
35
The categories of this paper are: mtrl-th
33
The categories of this paper are: plasm-ph
5
The categories of this paper are: gr-qc
17
The categories of this paper are: q-fin