Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Time and temperature-dependent correlation function of an impurity in a
  one-dimensional Fermi gas as a Fredholm determinant   We investigate a free one-dimensional spinless Fermi gas, and the
Tonks-Girardeau gas interacting with a single impurity particle of equal mass.
We obtain a Fredholm determinant representation for the time-dependent
correlation function of the impurity particle. This representation is valid for
an arbitrary temperature and an arbitrary repulsive or attractive impurity-gas
$\delta$-function interaction potential. It includes, as particular cases, the
representations obtained for zero temperature and arbitrary repulsion in [Nucl.
Phys. B 892, 83 (2015)], and for arbitrary temperature and infinite repulsion
in [Nucl. Phys. B 520, 594 (1998)].

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The categories of this paper are: math-ph
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The categories of this paper are: hep-th
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The categories of this paper are: hep-lat
10
The categories of this paper are: q-bio
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The categories of this paper are: econ
27
The categories of this paper are: comp-gas
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The categories of this paper are: quant-ph
15
The categories of this paper are: nucl-ex
6
The categories of this paper are: astro-ph
28
The categories of this paper are: alg-geom
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The categories of this paper are: nucl-th
29
The categories of this paper are: funct-an
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The categories of this paper are: hep-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: bayes-an
9
The categories of this paper are: nlin