Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Renormalization Effects in a Dilute Bose Gas   The low-density expansion for a homogeneous interacting Bose gas at zero
temperature can be formulated as an expansion in powers of $\sqrt{\rho a^3}$,
where $\rho$ is the number density and $a$ is the S-wave scattering length.
Logarithms of $\rho a^3$ appear in the coefficients of the expansion. We show
that these logarithms are determined by the renormalization properties of the
effective field theory that describes the scattering of atoms at zero density.
The leading logarithm is determined by the renormalization of the pointlike $3
\to 3$ scattering amplitude.

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The categories of this paper are: solv-int
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The categories of this paper are: math
10
The categories of this paper are: q-bio
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The categories of this paper are: q-fin
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The categories of this paper are: quant-ph
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The categories of this paper are: q-alg
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The categories of this paper are: chem-ph
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The categories of this paper are: math-ph
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The categories of this paper are: econ
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The categories of this paper are: comp-gas
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The categories of this paper are: cmp-lg
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The categories of this paper are: funct-an
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The categories of this paper are: cs
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-ex
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The categories of this paper are: gr-qc