Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The LeClair-Mussardo series and nested Bethe Ansatz   We consider correlation functions in one dimensional quantum integrable
models related to the algebra symmetries $\mathfrak{gl}(2|1)$ and
$\mathfrak{gl}(3)$. Using the algebraic Bethe Ansatz approach we develop an
expansion theorem, which leads to an infinite integral series in the
thermodynamic limit. The series is the generalization of the LeClair-Mussardo
series to nested Bethe Ansatz systems, and it is applicable both to one-point
and two-point functions. As an example we consider the ground state
density-density correlator in the Gaudin-Yang model of spin-1/2 Fermi
particles. Explicit formulas are presented in a special large coupling and
large imbalance limit.

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The categories of this paper are: nucl-th
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The categories of this paper are: math-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-ex
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The categories of this paper are: patt-sol
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The categories of this paper are: comp-gas
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The categories of this paper are: supr-con
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The categories of this paper are: q-fin
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The categories of this paper are: mtrl-th
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The categories of this paper are: funct-an
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The categories of this paper are: chem-ph
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The categories of this paper are: econ
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The categories of this paper are: q-bio
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The categories of this paper are: solv-int
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The categories of this paper are: cmp-lg