Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantized first-order phase transition and two sets of critical end
  point in droplet quark matter   The finite-size effect on the chiral phase transition is investigated in the
Nambu--Jona-Lasinio model. To take into account finite-size effects, momentum
integrals are replaced by momentum summations. The ground state of quark matter
at finite size is favored when applying the periodic spatial boundary condition
for quarks. The zero-momentum contribution is taken into account in the
periodic boundary condition, and its contribution becomes important when the
system size is comparable with the pion wavelength. When the zero-mode
contribution becomes dominant, the conventional first-order chiral phase
transition at high baryon chemical potential splits into two first-order phase
transitions in small system of quark matter, and two sets of critical end point
show up in the temperature and chemical potential plane.

5
The categories of this paper are: gr-qc
32
The categories of this paper are: atom-ph
21
The categories of this paper are: adap-org
2
The categories of this paper are: math
22
The categories of this paper are: chao-dyn
15
The categories of this paper are: nucl-ex
14
The categories of this paper are: math-ph
9
The categories of this paper are: nlin
7
The categories of this paper are: hep-th
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The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
20
The categories of this paper are: acc-phys
1
The categories of this paper are: cs
29
The categories of this paper are: funct-an
16
The categories of this paper are: stat
26
The categories of this paper are: bayes-an