Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quelques applications de l'Ansatz de Bethe (Some applications of the
  Bethe Ansatz)   The Bethe Ansatz is a method that is used in quantum integrable models in
order to solve them explicitly. This method is explained here in a general
framework, which applies to 1D quantum spin chains, 2D statistical lattice
models (vertex models) and relativistic field theories with 1 space dimension
and 1 time dimension. The connection with quantum groups is expounded. Several
applications are then presented. Finite size corrections are calculated via two
methods: The Non-Linear Integral Equations, which are applied to the study of
the states of the affine Toda model with imaginary coupling, and their
interpolation between the high energy (ultra-violet) and low energy (infra-red)
regions; and the Thermodynamic Bethe Ansatz Equations, along with the
associated Fusion Equations, which are used to determine the thermodynamic
properties of the generalized multi-channel Kondo model. The latter is then
studied in more detail, still using the Bethe Ansatz and quantum groups, so as
to characterize the spectrum of the low energy excitations.

12
The categories of this paper are: nucl-th
16
The categories of this paper are: stat
19
The categories of this paper are: eess
21
The categories of this paper are: adap-org
35
The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th
3
The categories of this paper are: physics
25
The categories of this paper are: patt-sol
15
The categories of this paper are: nucl-ex
31
The categories of this paper are: ao-sci
26
The categories of this paper are: bayes-an
29
The categories of this paper are: funct-an
36
The categories of this paper are: cmp-lg
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The categories of this paper are: math-ph
30
The categories of this paper are: q-alg
20
The categories of this paper are: acc-phys