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Topological solitons

Nicholas Manton, Paul Sutcliffe

(Cambridge monographs on mathematical physics)

Cambridge University Press, 2004

  • : hbk

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注記

Includes bibliographical references (p. 467-490) and index

内容説明・目次

内容説明

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.

目次

  • Preface
  • 1. Introduction
  • 2. Lagrangians and fields
  • 3. Topology in field theory
  • 4. Solitons - general theory
  • 5. Kinks
  • 6. Lumps and rational maps
  • 7. Vortices
  • 8. Monopoles
  • 9. Skyrmions
  • 10. Instantons
  • 11. Saddle points - sphalerons
  • References
  • Index.

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詳細情報

  • NII書誌ID(NCID)
    BA67642493
  • ISBN
    • 9780521838368
  • LCCN
    2003069072
  • 出版国コード
    uk
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    Cambridge
  • ページ数/冊数
    xi, 493 p.
  • 大きさ
    26 cm
  • 分類
  • 件名
  • 親書誌ID
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