On the Yang-Baxter Poisson algebra in non-ultralocal integrable systems
High Energy Physics - Theory
2022-03-08 v3 Mathematical Physics
math.MP
Abstract
A common approach to the quantization of integrable models starts with the formal substitution of the Yang-Baxter Poisson algebra with its quantum version. However it is difficult to discern the presence of such an algebra for the so-called non-ultralocal models. The latter includes the class of non-linear sigma models which are most interesting from the point of view of applications. In this work, we investigate the emergence of the Yang-Baxter Poisson algebra in a non-ultralocal system which is related to integrable deformations of the Principal Chiral Field.
Keywords
Cite
@article{arxiv.1805.07417,
title = {On the Yang-Baxter Poisson algebra in non-ultralocal integrable systems},
author = {Vladimir V. Bazhanov and Gleb A. Kotousov and Sergei L. Lukyanov},
journal= {arXiv preprint arXiv:1805.07417},
year = {2022}
}
Comments
29 pages, 2 figures. v3: stylistic improvements - formulae simplified, Appendix A integrated into the main text