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High Energy Physics - Theory

arXiv:1805.07417 (hep-th)
[Submitted on 18 May 2018 (v1), last revised 7 Mar 2022 (this version, v3)]

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

Authors:Vladimir V. Bazhanov, Gleb A. Kotousov, Sergei L. Lukyanov
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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.
Comments: 29 pages, 2 figures. v3: stylistic improvements - formulae simplified, Appendix A integrated into the main text
Subjects: High Energy Physics - Theory (hep-th); Mathematical Physics (math-ph)
Cite as: arXiv:1805.07417 [hep-th]
  (or arXiv:1805.07417v3 [hep-th] for this version)
  https://doi.org/10.48550/arXiv.1805.07417
Related DOI: https://doi.org/10.1016/j.nuclphysb.2018.07.016

Submission history

From: Gleb Kotousov [view email]
[v1] Fri, 18 May 2018 19:46:56 UTC (32 KB)
[v2] Fri, 22 Jun 2018 15:33:21 UTC (33 KB)
[v3] Mon, 7 Mar 2022 16:09:54 UTC (32 KB)
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