Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Thermodynamics of a generalized graphene-motivated (2+1)-dimensional
  Gross-Neveu model beyond mean field within the Beth-Uhlenbeck approach   We investigate the thermodynamics at finite density of a generalized $(2 +
1)$-dimensional Gross-Neveu model of $N$ fermion species with various types of
four-fermion interactions. The motivation for considering such a generalized
schematic model arises from taking the Fierz-transformation of an effective
Coulomb current-current interaction and certain symmetry breaking interaction
terms, as considered for graphene-type models in Ref. [16]. We then apply
path-integral bosonization techniques, based on the large $N$ limit, to derive
the thermodynamic potential. This includes the leading order mean-field (saddle
point) contribution as well as the next-order contribution of Gaussian
fluctuations of exciton fields. The main focus of the paper is then the
investigation of the thermodynamic properties of the resulting fermion-exciton
plasma. In particular, we derive an extended Beth-Uhlenbeck form of the
thermodynamic potential, discuss the Levinson theorem and the decomposition of
the phase of the exciton correlation into a resonant and scattering part.

26
The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas
15
The categories of this paper are: nucl-ex
1
The categories of this paper are: cs
11
The categories of this paper are: hep-lat
21
The categories of this paper are: adap-org
14
The categories of this paper are: math-ph
32
The categories of this paper are: atom-ph
25
The categories of this paper are: patt-sol
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
20
The categories of this paper are: acc-phys