Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Edge exponent in the dynamic spin structure factor of the Yang-Gaudin
  model   The dynamic spin structure factor $\mathcal{S}(k,\omega)$ of a system of
spin-1/2 bosons is investigated at arbitrary strength of interparticle
repulsion. As a function of $\omega$ it is shown to exhibit a power-law
singularity at the threshold frequency defined by the energy of a magnon at
given $k.$ The power-law exponent is found exactly using a combination of the
Bethe Ansatz solution and an effective field theory approach.

29
The categories of this paper are: funct-an
3
The categories of this paper are: physics
2
The categories of this paper are: math
17
The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
15
The categories of this paper are: nucl-ex
24
The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio
27
The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph
23
The categories of this paper are: solv-int
8
The categories of this paper are: hep-ex
13
The categories of this paper are: quant-ph
25
The categories of this paper are: patt-sol
9
The categories of this paper are: nlin
11
The categories of this paper are: hep-lat