Quelques applications de l'Ansatz de Bethe (Some applications of the Bethe Ansatz)

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