The sine-Gordon model with integrable defects revisited

被引：21
|
作者：
Avan, Jean [1 ]
Doikou, Anastasia [2 ]
机构：
[1] Univ Cergy Pontoise, LPTM, CNRS, UMR 8089, F-95302 Cergy Pontoise, France
[2] Univ Patras, Dept Engn Sci, GR-26500 Patras, Greece
来源：
JOURNAL OF HIGH ENERGY PHYSICS | 2012年 / 11期
关键词：
Integrable Hierarchies; Integrable Field Theories; NONLINEAR SCHRODINGER MODEL; STATISTICAL-MODELS; R-MATRIX; QUANTUM; SCATTERING; LINE;
D O I：
10.1007/JHEP11(2012)008
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：
Application of our algebraic approach to Liouville integrable defects is proposed for the sine-Gordon model. Integrability of the model is ensured by the underlying classical r-matrix algebra. The first local integrals of motion are identified together with the corresponding Lax pairs. Continuity conditions imposed on the time components of the entailed Lax pairs give rise to the sewing conditions on the defect point consistent with Liouville integrability.
引用
收藏
页数：20
相关论文
共 50 条
  • [21] Some properties of the integrable noncommutative sine-Gordon system
    Grisaru, MT
    Mazzanti, L
    Penati, S
    Tarnassia, L
    JOURNAL OF HIGH ENERGY PHYSICS, 2004, (04):
  • [22] The Dynamical Sine-Gordon Model
    Hairer, Martin
    Shen, Hao
    COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2016, 341 (03) : 933 - 989
  • [23] Lattice sine-Gordon model
    Flamino, James
    Giedt, Joel
    PHYSICAL REVIEW D, 2020, 101 (07)
  • [24] Chiral sine-Gordon model
    Yanagisawa, Takashi
    EPL, 2016, 113 (04)
  • [25] Laplace transformations and sine-Gordon type integrable PDE
    Habibullin, I. T.
    Faizulina, K., I
    Khakimova, A. R.
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2024, 57 (01)
  • [26] Noncommutative sine-Gordon model
    Lechtenfeld, O
    FORTSCHRITTE DER PHYSIK-PROGRESS OF PHYSICS, 2005, 53 (5-6): : 500 - 505
  • [27] The Dynamical Sine-Gordon Model
    Martin Hairer
    Hao Shen
    Communications in Mathematical Physics, 2016, 341 : 933 - 989
  • [28] A DISCRETE SINE-GORDON MODEL
    DING, GH
    XU, BW
    ZHANG, YM
    PHYSICS LETTERS B, 1993, 317 (1-2) : 107 - 111
  • [29] On a Parabolic Sine-Gordon Model
    Cheng, Xinyu
    Li, Dong
    Quan, Chaoyu
    Yang, Wen
    NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2021, 14 (04): : 1068 - 1084
  • [30] Noncommutative sine-Gordon model
    Lechtenfeld, O
    CZECHOSLOVAK JOURNAL OF PHYSICS, 2004, 54 (11) : 1351 - 1357
12345