Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Pseudoparticle approach to 1D integrable quantum models   Over the last three decades a large number of experimental studies on several
quasi one-dimensional (1D) metals and quasi1D Mott-Hubbard insulators have
produced evidence for distinct spectral features identified with charge-only
and spin-only fractionalized particles. They can be also observed in ultra-cold
atomic 1D optical lattices a nd quantum wires. 1D exactly solvable models
provide nontrivial tests of the approaches for these systems relying on field
theories. Different schemes such as the pseudofermion dynamical theory (PDT)
and the mobile quantum impurity model (MQIM) have revealed that the 1D
correlated models high-energy physics is qualitatively different from that of a
low-energy Tomonaga-Luttinger liquid (TLL). This includes the momentum
dependence of the exponents that control the one- and two-particle dynamical
correlation functions near their spectra edges and in the vicinity of
one-particle singular spectral features.
  On the one hand, the low-energy charge-only and spin-only fractionalized
particles are usually identified with holons and spinons, respectively. On the
other hand, `particle-like' representations in terms of {\it pseudoparticles},
related PDT {\it pseudofermions}, and MQIM particles are suitable for the
description of both the low-energy TLL physics and high-energy spectral and
dynamical properties of 1D correlated systems. The main goal of this review is
to revisit the usefulness of pseudoparticle and PDT pseudofermion
representations for the study of both static and high-energy spectral and
dynamical properties of the 1D Lieb-Liniger Bose gas, spin-$1/2$ isotropic
Heisenberg chain, and 1D Hubbard model. Moreover, the relation between the PDT
and the MQIM is clarified.

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The categories of this paper are: physics
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The categories of this paper are: hep-ph
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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: quant-ph
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The categories of this paper are: nlin
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The categories of this paper are: dg-ga
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: cmp-lg
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The categories of this paper are: ao-sci
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The categories of this paper are: math-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: chem-ph