Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Thermodynamics of hadrons using the Gaussian functional method in the
  linear sigma model   We investigate thermodynamics of hadrons using the Gaussian functional method
(GFM) at finite temperature. Since the interaction among mesons is very large,
we take into account fluctuations of mesons around their mean field values
using the GFM. We obtain the ground state energy by solving the Schr\"{o}dinger
equation. The meson masses are obtained using the energy minimization
condition. The resulting mass of the Nambu-Goldstone boson is not zero even in
the spontaneous chiral symmetry broken phase due to the non-perturbative
effect. We consider then the bound state of mesons using the Bethe-Salpeter
equation and show that the Nambu-Goldstone theorem is recovered. We investigate
further the behavior of the meson masses and the mean filed value as functions
of temperature for the cases of chiral limit and explicit chiral symmetry
breaking.

21
The categories of this paper are: adap-org
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess
14
The categories of this paper are: math-ph
33
The categories of this paper are: plasm-ph
36
The categories of this paper are: cmp-lg
9
The categories of this paper are: nlin
15
The categories of this paper are: nucl-ex
4
The categories of this paper are: cond-mat
23
The categories of this paper are: solv-int
32
The categories of this paper are: atom-ph
26
The categories of this paper are: bayes-an
22
The categories of this paper are: chao-dyn
12
The categories of this paper are: nucl-th
30
The categories of this paper are: q-alg