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Topological Solitons

Manton, N.S.; Sutcliffe, P.M.

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N.S. Manton


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.


Manton, N., & Sutcliffe, P. (2004). Topological Solitons. Cambridge University Press.

Book Type Authored Book
Publication Date Jul 1, 2004
Deposit Date Jul 26, 2007
Publicly Available Date Jun 8, 2010
Publisher Cambridge University Press
Series Title Cambridge monographs on mathematical physics
ISBN 05218383631


Published Book (5.2 Mb)

Copyright Statement
© N. Manton & P. Sutcliffe 2004.

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