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Teoreticheskaya i Matematicheskaya Fizika, 2012, Volume 171, Number 2, Pages 271–282
DOI: https://doi.org/10.4213/tmf8369
(Mi tmf8369)
 

This article is cited in 3 scientific papers (total in 3 papers)

Aspects of defects in integrable quantum field theory

E. Corrigan

Department of Mathematics, University of York, York, United Kingdom
Full-text PDF (348 kB) Citations (3)
References:
Abstract: Defects are ubiquitous in nature, for example, in the form of dislocations, shocks, bores, or impurities of various kinds, and their descriptions are an important part of any physical theory. But the following question can be asked. What types of defect are allowed, and what are their properties if maintaining integrability within an integrable field theory in two-dimensional space–time is required? We consider a collection of ideas and questions connected with this problem, including examples of integrable defects and the curiously special roles played by energy–momentum conservation and Bäcklund transformations, solitons scattering on defects, and some interesting effects in the framework of the sine-Gordon model, defects in integrable quantum field theory, and the construction of transmission matrices. In conclusion, we remark on algebraic considerations and future research directions.
Keywords: integrable, field theory, defect, sine-Gordon, Tzitzéica.
Received: 17.05.2012
English version:
Theoretical and Mathematical Physics, 2012, Volume 171, Issue 2, Pages 655–665
DOI: https://doi.org/10.1007/s11232-012-0062-1
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: E. Corrigan, “Aspects of defects in integrable quantum field theory”, TMF, 171:2 (2012), 271–282; Theoret. and Math. Phys., 171:2 (2012), 655–665
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf8369
  • https://doi.org/10.4213/tmf8369
  • https://www.mathnet.ru/eng/tmf/v171/i2/p271
  • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Abstract page:355
    Full-text PDF :182
    References:55
    First page:22
     
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