Topological Solitons

By: Nicholas Manton, Paul Sutcliffe, Manton Nicholas

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Paperback | 18 October 2007

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508 Pages

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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 '... 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.' Nieuw Archief voor Wiskunde

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You Can Find This Book In

Non-Fiction Science Physics Classical Mathematics Wave Mechanics including Vibration & Acoustics

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Hardcover

Published: 22nd December 2004

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Non-Fiction Science Physics Classical Mathematics Wave Mechanics including Vibration & Acoustics

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.

Topological Solitons

At a Glance

Paperback

Industry Reviews

Shipping

How to return your order

Defective items

You Can Find This Book In

Other Editions and Formats

Hardcover

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