Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

**Aspects of Integrable Defects.** / Corrigan, Ed.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Corrigan, E 2013, Aspects of Integrable Defects. in C Bai, J-P Gazeau & M-L Ge (eds), *Proceedings of the XXIX International Colloquium on Group Theoretical Mthods in Physics: Symmetries and Groups in Contemporary Physics.* Nankai Series in Pure, Applied Mathematics and Theoretical Physics, vol. 11, World Scientific Publishing, pp. 121-132.

Corrigan, E. (2013). Aspects of Integrable Defects. In C. Bai, J-P. Gazeau, & M-L. Ge (Eds.), *Proceedings of the XXIX International Colloquium on Group Theoretical Mthods in Physics: Symmetries and Groups in Contemporary Physics *(pp. 121-132). (Nankai Series in Pure, Applied Mathematics and Theoretical Physics; Vol. 11). World Scientific Publishing.

Corrigan E. Aspects of Integrable Defects. In Bai C, Gazeau J-P, Ge M-L, editors, Proceedings of the XXIX International Colloquium on Group Theoretical Mthods in Physics: Symmetries and Groups in Contemporary Physics. World Scientific Publishing. 2013. p. 121-132. (Nankai Series in Pure, Applied Mathematics and Theoretical Physics).

@inproceedings{d51d413ae4674ae3aaa956b69e8e2787,

title = "Aspects of Integrable Defects",

abstract = "Defects and impurities are ubiquitous in nature and essential for the understanding of phenomena in many domains of physics ranging from classical continuum mechanics to condensed matter physics, or cosmology. In every case, a defect is likely to be modeled by a discontinuity in a field variable, such as the abrupt change in fluid velocity across a shock, or the discontinuity in the derivative of a wave function in the presence of an impurity. From a mathematical point of view it is natural to ask what kinds of defect can be supported by an integrable field theory without destroying integrability. Some integrable models do appear to be useful in certain special physical situations but it remains to be seen if the defects they can support are themselves relevant. The purpose of this talk is exploratory, to discover what might be possible and review a collection of ideas and questions. The main points to be addressed are: examples of integrable defects and the special role played by energy-momentum conservation and B\{"}acklund transformations; the description of solitons scattering with defects and some curious unanticipated effects;the description of defects in integrable quantum field theory and associated transmission matrices; integrable field theories with boundaries revisited.",

author = "Ed Corrigan",

year = "2013",

language = "English",

isbn = "978-981-4518-57-4",

series = "Nankai Series in Pure, Applied Mathematics and Theoretical Physics",

publisher = "World Scientific Publishing",

pages = "121--132",

editor = "Chengming Bai and Jean-Pierre Gazeau and Mo-Lin Ge",

booktitle = "Proceedings of the XXIX International Colloquium on Group Theoretical Mthods in Physics",

}

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T1 - Aspects of Integrable Defects

AU - Corrigan, Ed

PY - 2013

Y1 - 2013

N2 - Defects and impurities are ubiquitous in nature and essential for the understanding of phenomena in many domains of physics ranging from classical continuum mechanics to condensed matter physics, or cosmology. In every case, a defect is likely to be modeled by a discontinuity in a field variable, such as the abrupt change in fluid velocity across a shock, or the discontinuity in the derivative of a wave function in the presence of an impurity. From a mathematical point of view it is natural to ask what kinds of defect can be supported by an integrable field theory without destroying integrability. Some integrable models do appear to be useful in certain special physical situations but it remains to be seen if the defects they can support are themselves relevant. The purpose of this talk is exploratory, to discover what might be possible and review a collection of ideas and questions. The main points to be addressed are: examples of integrable defects and the special role played by energy-momentum conservation and B\"acklund transformations; the description of solitons scattering with defects and some curious unanticipated effects;the description of defects in integrable quantum field theory and associated transmission matrices; integrable field theories with boundaries revisited.

AB - Defects and impurities are ubiquitous in nature and essential for the understanding of phenomena in many domains of physics ranging from classical continuum mechanics to condensed matter physics, or cosmology. In every case, a defect is likely to be modeled by a discontinuity in a field variable, such as the abrupt change in fluid velocity across a shock, or the discontinuity in the derivative of a wave function in the presence of an impurity. From a mathematical point of view it is natural to ask what kinds of defect can be supported by an integrable field theory without destroying integrability. Some integrable models do appear to be useful in certain special physical situations but it remains to be seen if the defects they can support are themselves relevant. The purpose of this talk is exploratory, to discover what might be possible and review a collection of ideas and questions. The main points to be addressed are: examples of integrable defects and the special role played by energy-momentum conservation and B\"acklund transformations; the description of solitons scattering with defects and some curious unanticipated effects;the description of defects in integrable quantum field theory and associated transmission matrices; integrable field theories with boundaries revisited.

M3 - Conference contribution

SN - 978-981-4518-57-4

T3 - Nankai Series in Pure, Applied Mathematics and Theoretical Physics

SP - 121

EP - 132

BT - Proceedings of the XXIX International Colloquium on Group Theoretical Mthods in Physics

A2 - Bai, Chengming

A2 - Gazeau, Jean-Pierre

A2 - Ge, Mo-Lin

PB - World Scientific Publishing

ER -