Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Tan Relations in Dilute Bose Gasses   The exact relations for strongly interacting Fermi gasses, recently derived
by Tan, are shown to first order in the loop expansion to also apply to dilute
Bose gasses. A simple thermodynamic argument is put forward to support their
validity. As an application, the second-order correction to the depletion of
the condensate is determined to logarithmic accuracy.

18
The categories of this paper are: econ
36
The categories of this paper are: cmp-lg
37
The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an
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The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
31
The categories of this paper are: ao-sci
17
The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
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The categories of this paper are: math-ph
32
The categories of this paper are: atom-ph
5
The categories of this paper are: gr-qc
24
The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph