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

页数：20

共 32 条

[1] Type-II Backlund transformations via gauge transformations
Aguirre, A. R.
Araujo, T. R.
Gomes, J. F.
Zimerman, A. H.
[J]. JOURNAL OF HIGH ENERGY PHYSICS, 2011, (12):
[2] Inverse scattering approach for massive Thirring models with integrable type-II defects
Aguirre, Alexis Roa
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2012, 45 (20)
[3] Avan, 2012, JHEP, V01, P040
[4] Rational Calogero-Moser Model: Explicit Form and r-Matrix of the Second Poisson Structure
Avan, Jean
Ragoucy, Eric
[J]. SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 2012, 8
[5] Boundary Lax pairs for the An(1) Toda field theories
Avan, Jean
Doikou, Anastasia
[J]. NUCLEAR PHYSICS B, 2009, 821 (03) : 481 - 505
[6] Solving topological defects via fusion
Bajnok, Z.
Simon, Zs.
[J]. NUCLEAR PHYSICS B, 2008, 802 (03) : 307 - 329
[7] From defects to boundaries
Bajnok, Z
George, A
[J]. INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 2006, 21 (05): : 1063 - 1077
[8] Bajnok Z, 2006, J STAT MECH-THEORY E, V0606
[9] Bowcock P, 2005, J HIGH ENERGY PHYS
[10] Bowcock P, 2004, J HIGH ENERGY PHYS

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