Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: $1/N$-expansion for the critical temperature of the Bose gas   We revised the large-$N$ expansion for a three-dimensional Bose system with
short-range repulsion in normal phase. Particularly, for the model potential
that is characterised only by the $s$-wave scattering length $a$ the full
numerical calculations of the critical temperature in the $1/N$-approximation
as a function of the gas parameter $an^{1/3}$ are performed. Additionally to
the well-known result in the dilute limit we estimated analytically the
leading-order strong-coupling behavior of the Bose-Einstein condensation
transition temperature. It is shown that the critical temperature shift of the
non-ideal Bose gas grows at small $an^{1/3}$, reaches some maximal value and
then falls down becoming negative.

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The categories of this paper are: nucl-ex
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The categories of this paper are: chao-dyn
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The categories of this paper are: econ
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The categories of this paper are: adap-org
29
The categories of this paper are: funct-an
34
The categories of this paper are: chem-ph
7
The categories of this paper are: hep-th
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The categories of this paper are: dg-ga
31
The categories of this paper are: ao-sci
5
The categories of this paper are: gr-qc
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The categories of this paper are: comp-gas
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The categories of this paper are: q-bio
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The categories of this paper are: astro-ph
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The categories of this paper are: math-ph
33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys