Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Phenomenology of One-Dimensional Quantum Liquids Beyond the Low-Energy
  Limit   We consider zero temperature behavior of dynamic response functions of 1D
systems near edges of support in momentum-energy plane $(k, \omega).$ The
description of the singularities of dynamic response functions near an edge
$\epsilon(k)$ is given by the effective Hamiltonian of a mobile impurity moving
in a Luttinger liquid. For Galilean-invariant systems, we relate the parameters
of such an effective Hamiltonian to the properties of the function $\epsilon
(k).$ This allows us to express the exponents which characterize singular
response functions of spinless bosonic or fermionic liquids in terms of
$\epsilon(k)$ and Luttinger liquid parameters for any $k.$ For an
antiferromagnetic Heisenberg spin-1/2 chain in a zero magnetic field, SU(2)
invariance fixes the exponents from purely phenomenological considerations.

31
The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex
18
The categories of this paper are: econ
14
The categories of this paper are: math-ph
22
The categories of this paper are: chao-dyn
11
The categories of this paper are: hep-lat
10
The categories of this paper are: q-bio
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
30
The categories of this paper are: q-alg
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
29
The categories of this paper are: funct-an
2
The categories of this paper are: math
9
The categories of this paper are: nlin