Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Thermodynamic equivalence of two-dimensional imperfect attractive Fermi
  and repulsive Bose gases   We consider two-dimensional imperfect attractive Fermi and repulsive Bose
gases consisting of spinless point particles whose total interparticle
interaction energy is represented by $a N^2/2 V$ with $a=-a_{F}\leq 0$ for
fermions, and $a=a_{B}\geq 0$ for bosons. We show that in spite of the
attraction the thermodynamics of $d=2$ imperfect Fermi gas remains well defined
for $0 \leq a_{F}\leq a_{0}=h^2/2\pi m$, and is exactly the same as the one of
the repulsive imperfect Bose gas with $a_{B}=a_{0}-a_{F}$. In particular, for
$a_{F}=a_{0}$ one observes the thermodynamic equivalence of the attractive
imperfect Fermi gas and the ideal Bose gas.

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The categories of this paper are: adap-org
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The categories of this paper are: stat
2
The categories of this paper are: math
35
The categories of this paper are: mtrl-th
26
The categories of this paper are: bayes-an
30
The categories of this paper are: q-alg
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-bio
6
The categories of this paper are: astro-ph
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The categories of this paper are: econ
0
The categories of this paper are: hep-ph
31
The categories of this paper are: ao-sci
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The categories of this paper are: hep-ex
5
The categories of this paper are: gr-qc
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The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an