Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-analytic dependence of the transition temperature of the homogeneous
  dilute Bose gas on scattering length   We show that the shift in the transition temperature of the dilute
homogeneous Bose gas is non-analytic in the scattering amplitude, $a$. The
first correction beyond the positive linear shift in $a$ is negative and of
order $a^2\ln a$. This non-universal non-analytic structure indicates how the
discrepancies between numerical calculations at finite $a$ can be reconciled
with calculations of the limit $a \to0$, since the linearity is apparent only
for anomalously small $a$.

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The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys
7
The categories of this paper are: hep-th
35
The categories of this paper are: mtrl-th
31
The categories of this paper are: ao-sci
11
The categories of this paper are: hep-lat
23
The categories of this paper are: solv-int
6
The categories of this paper are: astro-ph
30
The categories of this paper are: q-alg
3
The categories of this paper are: physics
10
The categories of this paper are: q-bio
17
The categories of this paper are: q-fin
24
The categories of this paper are: dg-ga
18
The categories of this paper are: econ
34
The categories of this paper are: chem-ph
12
The categories of this paper are: nucl-th