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
来源：
Journal of High Energy Physics | / 2012卷
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
  • [1] The sine-Gordon model with integrable defects revisited
    Avan, Jean
    Doikou, Anastasia
    JOURNAL OF HIGH ENERGY PHYSICS, 2012, (11):
  • [2] Multisymplectic approach to integrable defects in the sine-Gordon model
    Caudrelier, Vincent
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2015, 48 (19) : 1 - 23
  • [3] Integrable noncommutative sine-Gordon model
    Lechtenfeld, O
    Mazzanti, L
    Penati, S
    Popov, AD
    Tamassia, L
    NUCLEAR PHYSICS B, 2005, 705 (03) : 477 - 503
  • [4] A transmission matrix for a fused pair of integrable defects in the sine-Gordon model
    Corrigan, E.
    Zambon, C.
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2010, 43 (34)
  • [5] Double sine-Gordon model revisited
    Takács, G
    Wágner, F
    NUCLEAR PHYSICS B, 2006, 741 (03) : 353 - 367
  • [6] The sine-Gordon model revisited: I
    Niccoli, G.
    Teschner, J.
    JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2010,
  • [7] Sine-Gordon revisited
    Dimock, J
    Hurd, TR
    ANNALES HENRI POINCARE, 2000, 1 (03): : 499 - 541
  • [8] Sine-Gordon Revisited
    J. Dimock
    T.R. Hurd
    Annales Henri Poincaré, 2000, 1 : 499 - 541
  • [9] The sine-Gordon model in the presence of defects
    Avan, Jean
    Doikou, Anastasia
    XXTH INTERNATIONAL CONFERENCE ON INTEGRABLE SYSTEMS AND QUANTUM SYMMETRIES (ISQS-20), 2013, 411
  • [10] DEFECTS IN THE SINE-GORDON MODEL - STATICS
    REISINGER, H
    SCHWABL, F
    ZEITSCHRIFT FUR PHYSIK B-CONDENSED MATTER, 1983, 52 (02): : 151 - 170
12345