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9780521040969

Topological Solitons

by
  • ISBN13:

    9780521040969

  • ISBN10:

    0521040965

  • Edition: 1st
  • Format: Paperback
  • Copyright: 2007-10-08
  • Publisher: Cambridge University Press

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Summary

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.

Table of Contents

Preface
Introduction
Lagrangians and fields
Topology in field theory
Solitons - general theory
Kinks
Lumps and rational maps
Vortices
Monopoles
Skyrmions
Instantons
Saddle points - sphalerons
References
Index
Table of Contents provided by Publisher. All Rights Reserved.

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