Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Critical Exponents for the SC-Model in the Zero Sector   In this paper, we continue our investigation of a one-dimensional,
two-component, quantum many-body system in which like particles interact with a
pair potential $s(s+1)/{\rm sinh}^{2}(r)$, while unlike particles interact with
a pair potential $-s(s+1)/{\rm cosh}^{2}(r)$. For an equal number of particles
of the two components, the ground state for $s>0$ corresponds to an
antiferromagnet/insulator. Excitations consist of a gapless pair-hole--pair
continuum, a two-particle continuum with gap and excitons with gap. For
$-1<s<0$, the system has two gapless excitations --- a particle-hole continuum
and a two spin-wave continuum. Using finite-size scaling methods of conformal
field theory, we calculate the asymptotic expressions and critical exponents
for correlation functions of these gapless excitations at zero temperature. The
conformal structure is closely related to the Hubbard model with repulsive
on-site interaction.

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The categories of this paper are: chem-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: acc-phys
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The categories of this paper are: astro-ph
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The categories of this paper are: adap-org
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The categories of this paper are: alg-geom
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The categories of this paper are: gr-qc
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The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
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The categories of this paper are: cs
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The categories of this paper are: nlin
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The categories of this paper are: hep-lat
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The categories of this paper are: q-fin
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The categories of this paper are: math
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The categories of this paper are: ao-sci
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The categories of this paper are: bayes-an