Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Field Theoretic Studies of Quantum Spin Systems in One Dimension   We describe some field theoretic methods for studying quantum spin systems in
one dimension. These include the nonlinear sigma-model approach which is
particularly useful for large values of the spin, the idea of Luttinger liquids
and bosonization which are more useful for small values of spin such as
spin-1/2, and the technique of low-energy effective Hamiltonians which can be
useful if the system under consideration is perturbatively close to an exactly
solvable model. We apply these techniques to similar spin models, such as spin
chains with dimerization and frustration, and spin ladders in the presence of a
magnetic field. This comparative study illustrates the relative strengths of
the different methods.

37
The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
27
The categories of this paper are: comp-gas
14
The categories of this paper are: math-ph
11
The categories of this paper are: hep-lat
15
The categories of this paper are: nucl-ex
31
The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th
23
The categories of this paper are: solv-int
36
The categories of this paper are: cmp-lg
33
The categories of this paper are: plasm-ph
6
The categories of this paper are: astro-ph
18
The categories of this paper are: econ
7
The categories of this paper are: hep-th