Bethe Ansatz
Abstract
The term Bethe Ansatz stands for a multitude of methods in the theory of integrable models in statistical mechanics and quantum field theory that were designed to study the spectra, the thermodynamic properties and the correlation functions of these models non-perturbatively. This essay attempts to a give a brief overview of some of these methods and their development, mostly based on the example of the Heisenberg model and the corresponding six-vertex model.
Keywords
Cite
@article{arxiv.2309.02008,
title = {Bethe Ansatz},
author = {Frank Göhmann},
journal= {arXiv preprint arXiv:2309.02008},
year = {2024}
}
Comments
30 pages, contribution to the 2nd edition of the Encyclopedia of Mathematical Physics, v2: typos corrected, references added, additional structure imposed on the text by providing subsection headlines and theorem environments, v3: more typos corrected, note that the published version was not proofread and that the editors ignored my final corrections