Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Virial coefficients of trapped and un-trapped three-component fermions
  with three-body forces in arbitrary spatial dimensions   Using a coarse temporal lattice approximation, we calculate the first few
terms of the virial expansion of a three-species fermion system with a
three-body contact interaction in $d$ spatial dimensions, both in homogeneous
space as well as in a harmonic trapping potential of frequency $\omega$. Using
the three-body problem to renormalize, we report analytic results for the
change in the fourth- and fifth-order virial coefficients $\Delta b_4$ and
$\Delta b_5$ as functions of $\Delta b_3$. Additionally, we argue that in the
$\omega \to 0$ limit the relationship $b_n^\text{T} = n^{-d/2} b_n$ holds
between the trapped (T) and homogeneous coefficients for arbitrary temperature
and coupling strength (not merely in scale-invariant regimes). Finally, we
point out an exact, universal (coupling- and frequency-independent)
relationship between $\Delta b_3^\text{T}$ in 1D with three-body forces and
$\Delta b_2^\text{T}$ in 2D with two-body forces.

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The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys
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The categories of this paper are: cmp-lg
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The categories of this paper are: comp-gas
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The categories of this paper are: q-fin
3
The categories of this paper are: physics
30
The categories of this paper are: q-alg
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The categories of this paper are: nlin
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The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph
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The categories of this paper are: solv-int
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The categories of this paper are: econ
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The categories of this paper are: adap-org
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The categories of this paper are: chem-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: funct-an