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Teoreticheskaya i Matematicheskaya Fizika, 1995, Volume 103, Number 3, Pages 437–460 (Mi tmf1314)  

This article is cited in 13 scientific papers (total in 13 papers)

Integrable many body systems in the field theories

A. S. Gorskyab

a Institute for Theoretical and Experimental Physics (Russian Federation State Scientific Center)
b Uppsala University
References:
Abstract: We review recent results which clarify the role of the integrable many-body problems in the quantum field theory framework. They describe the dynamics of the topological degrees of freedom in the theories which are obtained by perturbing the topological ones by the proper Hamiltonians and sources. Interpretation of the many-body dynamics as a motion on the different moduli spaces as well as the property of duality is discussed. Tower of many-body systems can be derived from a tower of the field theories with appropriate phase spaces which have a transparent interpretation in terms of the group theory. The appearance of Calogero-type systems in different physical phenomena is mentioned.
English version:
Theoretical and Mathematical Physics, 1995, Volume 103, Issue 3, Pages 681–700
DOI: https://doi.org/10.1007/BF02065867
Bibliographic databases:
Language: English
Citation: A. S. Gorsky, “Integrable many body systems in the field theories”, TMF, 103:3 (1995), 437–460; Theoret. and Math. Phys., 103:3 (1995), 681–700
Citation in format AMSBIB
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\by A.~S.~Gorsky
\paper Integrable many body systems in the field theories
\jour TMF
\yr 1995
\vol 103
\issue 3
\pages 437--460
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1472310}
\zmath{https://zbmath.org/?q=an:0855.35106}
\transl
\jour Theoret. and Math. Phys.
\yr 1995
\vol 103
\issue 3
\pages 681--700
\crossref{https://doi.org/10.1007/BF02065867}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1995TP54200007}
Linking options:
  • https://www.mathnet.ru/eng/tmf1314
  • https://www.mathnet.ru/eng/tmf/v103/i3/p437
  • This publication is cited in the following 13 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
    Statistics & downloads:
    Abstract page:288
    Full-text PDF :159
    References:47
    First page:1
     
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