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Topological Solitons : Cambridge Monographs on Mathematical Physics - Nicholas Manton

Topological Solitons

By: Nicholas Manton, Paul Sutcliffe

Hardcover | 22 December 2004

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Published: 18th October 2007

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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.
Industry Reviews
'The authors are two of the most prominent in the field and have made many seminal contributions to it.' 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.' Zentralblatt MATH

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Non-FictionSciencePhysicsClassical MathematicsWave Mechanics including Vibration & AcousticsStatistical PhysicsMathematicsTopology

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Published: 18th October 2007

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