The sine-Gordon model with integrable defects revisited

被引:0
|
作者
Jean Avan
Anastasia Doikou
机构
[1] LPTM,Department of Engineering Sciences
[2] Universite de Cergy-Pontoise (CNRS UMR 8089),undefined
[3] University of Patras,undefined
关键词
Integrable Hierarchies; Integrable Field Theories;
D O I
暂无
中图分类号
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
相关论文
共 50 条
  • [31] A Generalized Sine-Gordon Equation: Reductions and Integrable Discretizations
    Sheng, Han-Han
    Feng, Bao-Feng
    Yu, Guo-Fu
    JOURNAL OF NONLINEAR SCIENCE, 2024, 34 (03)
  • [32] THE LATTICE SINE-GORDON MODEL
    IZERGIN, AG
    KOREPIN, VE
    VESTNIK LENINGRADSKOGO UNIVERSITETA SERIYA FIZIKA KHIMIYA, 1981, (04): : 84 - 87
  • [33] The local sine-Gordon model
    Xu, BW
    Zhang, YM
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1996, 29 (22): : 7349 - 7352
  • [34] Integrable boundary conditions for classical sine-Gordon theory
    MacIntyre, A.
    1600, (28):
  • [35] THE GRAVITATIONAL SINE-GORDON MODEL
    HSU, E
    KUTASOV, D
    NUCLEAR PHYSICS B, 1993, 396 (2-3) : 693 - 707
  • [36] Exact form factors in integrable quantum field theories: the sine-Gordon model
    Babujian, H
    Fring, A
    Karowski, M
    Zapletal, A
    NUCLEAR PHYSICS B, 1999, 538 (03) : 535 - 586
  • [37] REGULARIZED INTEGRABLE VERSION OF THE ONE-DIMENSIONAL QUANTUM SINE-GORDON MODEL
    JAPARIDZE, GI
    NERSESYAN, AA
    WIEGMANN, PB
    PHYSICA SCRIPTA, 1983, 27 (01): : 5 - 7
  • [38] Boundary states in SUSY sine-Gordon model with supersymmetric integrable boundary condition
    Bajnok, Z
    Palla, L
    Takács, G
    FORTSCHRITTE DER PHYSIK-PROGRESS OF PHYSICS, 2003, 51 (7-8): : 799 - 804
  • [39] ON THE NONRELATIVISTIC LIMIT OF THE QUANTUM SINE-GORDON MODEL WITH INTEGRABLE BOUNDARY-CONDITION
    KAPUSTIN, A
    SKORIK, S
    PHYSICS LETTERS A, 1994, 196 (1-2) : 47 - 51
  • [40] Non-integrable aspects of the multi-frequency sine-Gordon model
    Delfino, G
    Mussardo, G
    NUCLEAR PHYSICS B, 1998, 516 (03) : 675 - 703