Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Lower Bound on the Ground State Energy of Dilute Bose Gas   Consider an N-Boson system interacting via a two-body repulsive short-range
potential $V$ in a three dimensional box $\Lambda$ of side length $L$. We take
the limit $N, L \to \infty$ while keeping the density $\rho = N / L^3$ fixed
and small. We prove a new lower bound for its ground state energy per particle
$$\frac{E(N, \Lambda)}{N} \geq 4 \pi a \rho [ 1 - O(\rho^{1/3} |\log \rho|^3)
],$$ as $\rho \to 0$, where $a$ is the scattering length of $V$.

5
The categories of this paper are: gr-qc
33
The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph
19
The categories of this paper are: eess
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The categories of this paper are: cmp-lg
24
The categories of this paper are: dg-ga
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The categories of this paper are: bayes-an
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The categories of this paper are: q-bio
1
The categories of this paper are: cs
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The categories of this paper are: alg-geom
29
The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-th
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The categories of this paper are: q-fin
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The categories of this paper are: solv-int