On the Yang-Baxter Poisson algebra in non-ultralocal integrable systems

Autor:	Bazhanov, Vladimir V., Kotousov, Gleb A., Lukyanov, Sergei L.
Rok vydání:	2018
Předmět:	High Energy Physics - Theory Mathematical Physics
Druh dokumentu:	Working Paper
DOI:	10.1016/j.nuclphysb.2018.07.016
Popis:	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. Comment: 29 pages, 2 figures. v3: stylistic improvements - formulae simplified, Appendix A integrated into the main text
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1805.07417 Zobrazit plný text záznamu View this record from Arxiv