Quelques applications de l'Ansatz de Bethe (Some applications of the Bethe Ansatz)
| dc.creator | Zinn-Justin, P. | |
| dc.date | 1998-10-11 | |
| dc.date.accessioned | 2026-07-07T06:17:40Z | |
| dc.date.available | 2026-07-07T06:17:40Z | |
| dc.description | 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. | |
| dc.description | PhD dissertation. In French. the articles are not included (they're already on the archive) | |
| dc.identifier | https://arxiv.org/abs/solv-int/9810007 | |
| dc.identifier | http://arxiv.org/abs/solv-int/9810007 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/94461 | |
| dc.subject | Exactly Solvable and Integrable Systems | |
| dc.title | Quelques applications de l'Ansatz de Bethe (Some applications of the Bethe Ansatz) | |
| dc.type | text |