Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Operator Product Expansion Beyond Leading Order for Two-Component
  Fermions   We consider a homogeneous, balanced gas of strongly interacting fermions in
two spin states interacting through a large scattering length. Finite range
corrections are needed for a quantitative description of data which experiments
and numerical simulations have provided. We use a perturbative field
theoretical framework and a tool called the Operator Product Expansion (OPE),
which together allow for the expression of finite range corrections to the
universal relations and momentum distribution. Using the OPE, we derive the
$1/k^6$ part of the momentum tail, which is related to the sum of the
derivative of the energy with respect to the finite range and the averaged
kinetic energy of opposite spin pairs. By comparing the $1/k^4$ term and the
$1/k^6$ correction in the momentum distribution to provided Quantum Monte Carlo
(QMC) data, we show that including the $1/k^6$ part offers marked improvements.
Our field theoretical approach allows for a clear understanding of the role of
the scattering length and finite effective range in the universal relations and
the momentum distribution.

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The categories of this paper are: nlin
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The categories of this paper are: math-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an
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The categories of this paper are: mtrl-th
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The categories of this paper are: gr-qc
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The categories of this paper are: quant-ph
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The categories of this paper are: econ
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The categories of this paper are: q-alg
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The categories of this paper are: alg-geom
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The categories of this paper are: plasm-ph
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The categories of this paper are: supr-con
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The categories of this paper are: ao-sci
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The categories of this paper are: atom-ph