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  3. Topological Solitons
  • Cited by 998
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    • Publisher:
      Cambridge University Press
      Publication date:
      12 January 2010
      10 June 2004
      ISBN:
      9780511617034
      9780521838368
      9780521040969
      DOI:
      https://doi.org/10.1017/CBO9780511617034
      Dimensions:
      (247 x 174 mm)
      Weight & Pages:
      1.211kg, 506 Pages
      Dimensions:
      (247 x 174 mm)
      Weight & Pages:
      0.8kg, 508 Pages
      • Subjects:
      Mathematics, Physics and Astronomy, Theoretical Physics and Mathematical Physics, Geometry and Topology
      Series:
      Cambridge Monographs on Mathematical Physics
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    • Selected: Digital
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    Subjects:
    Mathematics, Physics and Astronomy, Theoretical Physics and Mathematical Physics, Geometry and Topology
    Series:
    Cambridge Monographs on Mathematical Physics
    Information

    Book description

    Topological solitons occur in many nonlinear classical field theories. They are stable, particle-like objects, with finite mass and a smooth structure. Examples are monopoles and Skyrmions, Ginzburg-Landau vortices and sigma-model lumps, and Yang-Mills instantons. This book is a comprehensive survey of static topological solitons and their dynamical interactions. Particular emphasis is placed on the solitons which satisfy first-order Bogomolny equations. For these, the soliton dynamics can be investigated by finding the geodesics on the moduli space of static multi-soliton solutions. Remarkable scattering processes can be understood this way. The book starts with an introduction to classical field theory, and a survey of several mathematical techniques useful for understanding many types of topological soliton. Subsequent chapters explore key examples of solitons in one, two, three and four dimensions. The final chapter discusses the unstable sphaleron solutions which exist in several field theories.

    Reviews

    ‘The authors are two of the most prominent in the field and have made many seminal contributions to it.‘

    Source: Contemporary Physics

    'The book is self-contained and beautifully written. It should remain for a long period of time as a standard reference for anyone interested in solition theory and its application in physics.'

    Source: Zentralblatt MATH

    '… a unique, up-to-date and authoritative resource for anyone who wants to learn about the latest developments in the field of topological solitons. Moreover, by clearly exhibiting the essential idea of any topic they discuss, the authors have succeeded in writing a book which should teach mathematicians much about physics and physicists much about mathematics. The book is accessible to graduate students in theoretical physics and mathematics and despite the absence of exercises, could be used a s a textbook for an advanced lecture course.'

    Source: Nieuw Archief voor Wiskunde

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