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

被引：11

作者：

Bazhanov, Vladimir V. ^{[1
]}

Kotousov, Gleb A. ^{[1
,2
]}

Lukyanov, Sergei L. ^{[2
,3
]}

机构：

[1] Australian Natl Univ, Res Sch Phys & Engn, Dept Theoret Phys, Canberra, ACT 2601, Australia

[2] Rutgers State Univ, Dept Phys & Astron, NHETC, Piscataway, NJ 08855 USA

[3] Kharkevich Inst Informat Transmiss Problems, Moscow 127994, Russia

来源：

NUCLEAR PHYSICS B | 2018年 / 934卷

关键词：

MODELS; DEFORMATIONS;

D O I：

10.1016/j.nuclphysb.2018.07.016

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

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. (C) 2018 The Authors. Published by Elsevier B.V.

引用

页码：529 / 556

页数：28

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